Collection
Wave Equations
- Submission status
- Open
- Open for submission from
- 01 January 2022
- Submission deadline
- Ongoing
Topical Collection of articles on Wave Equations
Articles (550 in this collection)
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Analyzing specific waves and various dynamics of multi-peakons in (3+1)-dimensional p-type equation using a newly created methodology
Authors
- Shubham Kumar Dhiman
- Sachin Kumar
- Content type: Research
- Published: 20 April 2024
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Exploring localized waves and different dynamics of solitons in (2 + 1)-dimensional Hirota bilinear equation: a multivariate generalized exponential rational integral function approach
Authors (first, second and last of 4)
- Monika Niwas
- Sachin Kumar
- Dinsha Chadha
- Content type: Research
- Published: 11 April 2024
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A novel (2+1)-dimensional Sawada-Kotera type system: multisoliton solution and variable separation solution
Authors (first, second and last of 4)
- Jianyong Wang
- Yunqing Yang
- Yong Chen
- Content type: Original Paper
- Published: 09 April 2024
- Pages: 8481 - 8494
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Effects of high dispersion and generalized non-local laws on optical soliton perturbations in magneto-optic waveguides with sextic-power law refractive index
Authors (first, second and last of 5)
- Elsayed M. E. Zayed
- Khaled A. E. Alurrfi
- Mustafa Bayram
- Content type: Research
- Published: 04 April 2024
- Pages: 8507 - 8525
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Step-like soliton solutions and dynamic behavior of solitons in the inhomogeneous fiber optics
Authors (first, second and last of 4)
- Zheng Li
- Muwei Liu
- Wenjun Liu
- Content type: Research
- Published: 03 April 2024
- Pages: 8495 - 8505
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Spatiotemporal chirped solitary waves to the generalized (\({\textbf {3}}+{\textbf {1}}\))-dimensional nonlinear Schrödinger equation with varying sources under different diffraction and potential functions
Authors (first, second and last of 5)
- Jun-Rong He
- Siliu Xu
- Li Xue
- Content type: Original Paper
- Published: 02 April 2024
- Pages: 8465 - 8480
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Dynamical behavior of lump, breather and soliton solutions of time-fractional (3+1)D-YTSF equation with variable coefficients
Authors
- Rajesh Kumar Gupta
- Manish Kumar
- Content type: Research
- Published: 01 April 2024
- Pages: 8527 - 8538
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Interactions of breathers and rogue wave for the coupled Lakshmanan–Porsezian–Daniel equation
Authors
- Yu Lou
- Content type: Research
- Published: 29 March 2024
- Pages: 8453 - 8463
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Bifurcations, chaotic behavior, sensitivity analysis and new optical solitons solutions of Sasa-Satsuma equation
Authors (first, second and last of 4)
- Peiluan Li
- Sairu Shi
- Mati ur Rahman
- Content type: Original Paper
- Published: 23 March 2024
- Pages: 7405 - 7415
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Derivation of anomalously interacting lumps for the (2+1)-dimensional generalized Korteweg–de Vries equation via degeneracy of lump chains
Authors
- Wentao Li
- Chongxia Lu
- Biao Li
- Content type: Original Paper
- Published: 20 March 2024
- Pages: 7359 - 7375
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Mach-type soliton solution of a coupled KP equation
Authors (first, second and last of 4)
- Xiaoyan Zhen
- Gang Wang
- Wei Liu
- Content type: Original Paper
- Published: 20 March 2024
- Pages: 7347 - 7357
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Spectral structure and even-order soliton solutions of a defocusing shifted nonlocal NLS equation via Riemann-Hilbert approach
Authors
- Jianping Wu
- Content type: Original Paper
- Published: 20 March 2024
- Pages: 7395 - 7404
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Novel Insights into the Exact Solutions of the Modified (3+1) Dimensional Fractional KS Equation with Variable Coefficients
Authors
- C. R. Jisha
- Bongsoo Jang
- Content type: Original Paper
- Published: 19 March 2024
- Pages: 7325 - 7345
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Data-driven solitons dynamics and parameters discovery in the generalized nonlinear dispersive mKdV-type equation via deep neural networks learning
Authors (first, second and last of 4)
- Xiaoli Wang
- Wenjing Han
- Zhenya Yan
- Content type: Research
- Published: 19 March 2024
- Pages: 7433 - 7458
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The determinant representation of Ward soliton solutions and its dynamical behaviors
Authors
- Liming Ling
- Honghao Yang
- Content type: Original Paper
- Published: 16 March 2024
- Pages: 7417 - 7432
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Rational solutions consisting of multiple lump waves and line rogue waves in different spaces of the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation in incompressible fluid
Authors
- Caifeng Zhang
- Zhonglong Zhao
- Yufeng Zhang
- Content type: Original Paper
- Published: 12 March 2024
- Pages: 7377 - 7393
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The generalized (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation: resonant multiple soliton, N-soliton, soliton molecules and the interaction solutions
Authors
- Kang-Jia Wang
- Content type: Original Paper
- Published: 10 March 2024
- Pages: 7309 - 7324
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Asymmetric scattering effect of solitary wave in a two-section composite granular chain
Authors (first, second and last of 5)
- Xingyi Liu
- Tengfei Jiao
- Decai Huang
- Content type: Original Paper
- Published: 01 March 2024
- Pages: 6561 - 6575
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Three types of exact solutions of generalized breaking soliton equation via certain neural network structures
Authors
- Nan Xia
- Runfa Zhang
- Xiangfeng Luo
- Content type: Original Paper
- Published: 29 February 2024
- Pages: 6587 - 6596
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Formation and propagation dynamics of peakons and double-hump solitons of the generalized focusing/defocusing NLS equations with \(\varvec{\mathcal{P}\mathcal{T}}\)-symmetric \(\varvec{\delta }{} \mathbf{(x)}\)-sech optical potentials
Authors
- Zijian Zhou
- Yong Chen
- Zhenya Yan
- Content type: Original Paper
- Published: 27 February 2024
- Pages: 6597 - 6613
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Rogue waves and their dynamics in the Ito’s system with the nonzero constant background
Authors
- Chuanjian Wang
- Lirong Wang
- Changzhao Li
- Content type: Original Paper
- Published: 27 February 2024
- Pages: 6547 - 6559
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The breather solutions and propagation features analysis for Lakshmanan–Porsezian–Daniel equation
Authors (first, second and last of 5)
- Zi-Yu Han
- Xiang-Hua Meng
- Hong-Yu Li
- Content type: Original Paper
- Published: 26 February 2024
- Pages: 6535 - 6546
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Inverse scattering transform for the nonlocal Gerdjikov–Ivanov equation with simple and double poles
Authors
- Guixian Wang
- Xiu-Bin Wang
- Bo Han
- Content type: Original Paper
- Published: 23 February 2024
- Pages: 6517 - 6533
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Dynamical instability of dark solitons perturbed by an optical lattice in the quasi-one-dimensional Muñoz-Mateo–Delgado equation
Authors
- Mateus C. P. dos Santos
- Hugo L. C. Couto
- Wesley B. Cardoso
- Content type: Original Paper
- Published: 23 February 2024
- Pages: 6577 - 6585
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Space-shifted toroidal, spherical solitons and collisions for the nonlocal coupled nonlinear Schrödinger equations
Authors
- Li Li
- Chengcheng Fan
- Fajun Yu
- Content type: Original Paper
- Published: 21 February 2024
- Pages: 6505 - 6516
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Exact solutions of the time-fractional extended (3+1)-dimensional Kadomtsev–Petviashvili equation
Authors
- Hongcai Ma
- Nan Su
- Aiping Deng
- Content type: Original Paper
- Published: 16 February 2024
- Pages: 5575 - 5590
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Abundant lump-type solutions of the variable-coefficient Hirota–Satsuma–Ito equation
Authors
- Chun-Rong Qin
- Jian-Guo Liu
- Content type: Original Paper
- Published: 16 February 2024
- Pages: 5565 - 5574
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Nonlinear tunnelling of 3D partially nonlocal nonautonomous nondegenerate vector solitons in a linear external potential
Authors
- Jinglei Zhao
- Haiping Zhu
- Content type: Original Paper
- Published: 16 February 2024
- Pages: 5611 - 5619
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Non-collisional dynamics of (2+1)-dimensional Broer-Kaup-Kupershmidt system
Authors
- K. Subramanian
- Content type: Original Paper
- Published: 15 February 2024
- Pages: 5555 - 5563
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Dynamics of transformed nonlinear waves in an extended (3+1)-dimensional Ito equation: state transitions and interactions
Authors
- Hao Tian
- Ruodong Wang
- Feifan Zhang
- Content type: Original Paper
- Published: 15 February 2024
- Pages: 5591 - 5610
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Solitons, kink-solitons and breather solutions of the two-coupled incoherent nonlinear Schrödinger equation
Authors
- Liu Yang
- Ben Gao
- Content type: Original Paper
- Published: 15 February 2024
- Pages: 5621 - 5633
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Oceanic internal solitary wave interactions via the KP equation in a three-layer fluid with shear flow
Authors
- Jun-Chao Sun
- Xiao-Yan Tang
- Yong Chen
- Content type: Original Paper
- Published: 03 February 2024
- Pages: 4815 - 4840
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Resonance solitons, soliton molecules and hybrid solutions for a (\(\mathbf{2+ 1}\))-dimensional nonlinear wave equation arising in the shallow water wave
Authors
- Xueqing Zhang
- Bo Ren
- Content type: Original Paper
- Published: 31 January 2024
- Pages: 4793 - 4802
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Lump solution, lump-stripe solution, rogue wave solution and periodic solution of the (2 + 1)-dimensional Fokas system
Authors
- Qing-Jiang Feng
- Guo-Qing Zhang
- Content type: Original Paper
- Published: 29 January 2024
- Pages: 4775 - 4792
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General high-order solitons and breathers with a periodic wave background in the nonlocal Hirota–Maccari equation
Authors
- Xiaolin Yang
- Yi Zhang
- Wenjing Li
- Content type: Original Paper
- Published: 27 January 2024
- Pages: 4803 - 4813
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Correction to: Lump solution, interaction solution, and interference wave for the (3+1)-dimensional BKP-Boussinesq equation as well as analysis of BNNM model degradation
Authors
- Yuanlin Liu
- Zhimin Ma
- Ruoyang Lei
- Content type: Correction
- Published: 26 January 2024
- Pages: 5013 - 5013
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Elastic and resonant interactions of a lump and two parallel line solitary waves for the (4+1)-dimensional Fokas equation
Authors
- Lun-Jie Zhang
- Ai-Hua Chen
- Meng-Yao Wang
- Content type: Original Paper
- Published: 25 January 2024
- Pages: 4761 - 4773
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M-shaped solitons in cubic nonlinear media with a composite linear potential
Authors (first, second and last of 4)
- Liangwei Zeng
- Dumitru Mihalache
- Jingsong He
- Content type: Original Paper
- Published: 24 January 2024
- Pages: 3811 - 3822
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Riemann–Hilbert approach and soliton analysis of a novel nonlocal reverse-time nonlinear Schrödinger equation
Authors
- Jianping Wu
- Content type: Original Paper
- Published: 24 January 2024
- Pages: 4749 - 4760
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Analysis of the dynamical perspective of chaos, Lie symmetry, and soliton solution to the Sharma–Tasso–Olver system
Authors
- Jinxing Liu
- Muhammad Nadeem
- Content type: Original Paper
- Published: 21 January 2024
- Pages: 3835 - 3850
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Controllable vector soliton in (2+1)-dimensional coupled nonlinear Schrödinger equations with varying coefficients
Authors
- Xiao-Min Wang
- Xiao-Xiao Hu
- Content type: Original Paper
- Published: 20 January 2024
- Pages: 3785 - 3796
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Solitonic interactions and explicit solutions for the \(\varvec{(2+1)}\)-dimensional nonlocal derivative nonlinear Schrödinger equation
Authors
- Yu Xiao
- Jiang-Yan Song
- Chi-Ping Zhang
- Content type: Original Paper
- Published: 19 January 2024
- Pages: 3797 - 3809
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\(\overline{\partial }\)-dressing method to PT-symmetric multi-component nonlinear Schrödinger equation
Authors
- Hui Zhou
- Yehui Huang
- Yuqin Yao
- Content type: Original Paper
- Published: 19 January 2024
- Pages: 3707 - 3724
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Integrability, bilinearization, exact traveling wave solutions, lump and lump-multi-kink solutions of a \(\varvec{(3 + 1)}\)-dimensional negative-order KdV–Calogero–Bogoyavlenskii–Schiff equation
Authors (first, second and last of 4)
- Uttam Kumar Mandal
- Biren Karmakar
- Wen-Xiu Ma
- Content type: Original Paper
- Published: 17 January 2024
- Pages: 4727 - 4748
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Localized wave solutions and localized-kink solutions to a (3+1)-dimensional nonlinear evolution equation
Authors
- Hangbing Shao
- Sudao Bilige
- Content type: Original Paper
- Published: 17 January 2024
- Pages: 3749 - 3761
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Multi-soliton solutions for the positive coherently coupled NLS in the Kerr media via the Riemann–Hilbert approach
Authors
- Siqi Xu
- Dongfeng Yan
- Content type: Original Paper
- Published: 12 January 2024
- Pages: 3771 - 3784
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Variable coefficient (2+1)D KP equation for Rossby waves and its dynamical analysis
Authors
- Tianle Yin
- Jing Pang
- Content type: Original Paper
- Published: 11 January 2024
- Pages: 3725 - 3736
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The Riemann–Hilbert approach for the Chen–Lee–Liu equation and collisions of multiple solitons
Authors
- Yongshuai Zhang
- Bingwen Lin
- Content type: Original Paper
- Published: 11 January 2024
- Pages: 3737 - 3748
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Volumes of second-order rogue waves of the infinite NLS hierarchy
Authors
- A. Ankiewicz
- Content type: Original Paper
- Published: 11 January 2024
- Pages: 3695 - 3706