Collection
Wave Equations
- Submission status
- Open
- Open for submission from
- 01 January 2022
- Submission deadline
- Ongoing
Topical Collection of articles on Wave Equations
Articles (568 in this collection)
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\(\pmb {N}\)th-order rogue wave solutions of multicomponent nonlinear Schrödinger equations
Authors
- Yu-Shan Bai
- Li-Na Zheng
- Wen-Xiu Ma
- Content type: Original paper
- Published: 16 August 2021
- Pages: 3415 - 3435
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Dynamic properties of interactional solutions for the (4 + 1)-dimensional Fokas equation
Authors
- Ai-Hua Chen
- Jie Yan
- Ya-Ru Guo
- Content type: Original paper
- Published: 14 August 2021
- Pages: 3489 - 3502
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Soliton molecules, rational positons and rogue waves for the extended complex modified KdV equation
Authors
- Lin Huang
- Nannan Lv
- Content type: Original paper
- Published: 05 August 2021
- Pages: 3475 - 3487
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Interplay role between dipole interactions and hydrogen bonding on proton transfer dynamics
Authors (first, second and last of 4)
- Michael Brice Tchouadji Ndjike
- Aurélien Serge Tchakoutio Nguetcho
- Jean Marie Bilbault
- Content type: Original paper
- Published: 04 August 2021
- Pages: 2619 - 2643
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Construction of higher-order smooth positons and breather positons via Hirota’s bilinear method
Authors (first, second and last of 4)
- Zhao Zhang
- Biao Li
- Qi Guo
- Content type: Original paper
- Published: 03 August 2021
- Pages: 2611 - 2618
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Qualitative analysis and bounded traveling wave solutions for Boussinesq equation with dissipative term
Authors
- Yanan Hu
- Weiguo Zhang
- Xingqian Ling
- Content type: Original paper
- Published: 27 July 2021
- Pages: 2595 - 2609
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Bilinear form, soliton, breather, hybrid and periodic-wave solutions for a (3+1)-dimensional Korteweg–de Vries equation in a fluid
Authors (first, second and last of 4)
- Chong-Dong Cheng
- Bo Tian
- Xin Zhao
- Content type: Original paper
- Published: 27 July 2021
- Pages: 2525 - 2538
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Higher-order spectral filtering effects on the dynamics of stationary soliton in dissipative systems in the presence of linear and nonlinear gain/loss
Authors
- Gaétan Kuetche Saadeu
- Laurent Nana
- Content type: Original paper
- Published: 26 July 2021
- Pages: 2559 - 2573
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A second-order three-wave interaction system and its rogue wave solutions
Authors
- Xianguo Geng
- Yihao Li
- Bo Xue
- Content type: Original paper
- Published: 24 July 2021
- Pages: 2575 - 2593
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Novel soliton molecules and wave interactions for a (3 + 1)-dimensional nonlinear evolution equation
Authors (first, second and last of 4)
- Xiao-yan Tang
- Chao-jie Cui
- Wei Ding
- Content type: Original paper
- Published: 23 July 2021
- Pages: 2549 - 2557
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Dark wave, rogue wave and perturbation solutions of Ivancevic option pricing model
Authors (first, second and last of 5)
- Yu-Qiong Chen
- Yu-Hao Tang
- M. S. Osman
- Content type: Original paper
- Published: 19 July 2021
- Pages: 2539 - 2548
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Multi-soliton solutions of the N-component nonlinear Schrödinger equations via Riemann–Hilbert approach
Authors
- Yan Li
- Jian Li
- Ruiqi Wang
- Content type: Original paper
- Published: 19 July 2021
- Pages: 1765 - 1772
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Mechanisms of nonlinear wave transitions in the (2+1)-dimensional generalized breaking soliton equation
Authors
- Fu-Fu Ge
- Shou-Fu Tian
- Content type: Original paper
- Published: 07 July 2021
- Pages: 1753 - 1764
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Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method
Authors
- Juncai Pu
- Jun Li
- Yong Chen
- Content type: Original paper
- Published: 06 July 2021
- Pages: 1723 - 1739
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The multi-soliton and multiple-poles soliton solutions for the six-order nonlinear Schrödinger equation
Authors
- Mengtao Xu
- Nan Liu
- Chunxiao Guo
- Content type: Original paper
- Published: 01 July 2021
- Pages: 1741 - 1751
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Interaction of multiple superposition solutions for the \((4 + 1)\)-dimensional Boiti-LeonManna-Pempinelli equation
Authors
- Peng-Fei Han
- Taogetusang Bao
- Content type: Original paper
- Published: 25 June 2021
- Pages: 717 - 734
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Optical solitons and bifurcation analysis in fiber Bragg gratings with Lie symmetry and Kudryashov’s approach
Authors (first, second and last of 7)
- Sandeep Malik
- Sachin Kumar
- Milivoj R. Belic
- Content type: Original paper
- Published: 24 June 2021
- Pages: 735 - 751
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Nonlocal continuous Hirota equation: Darboux transformation and symmetry broken and unbroken soliton solutions
Authors
- Na-Na Li
- Rui Guo
- Content type: Original paper
- Published: 23 June 2021
- Pages: 617 - 628
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Multi-rogue wave solutions for a generalized integrable discrete nonlinear Schrödinger equation with higher-order excitations
Authors
- Jun Yang
- Yan-Li Zhang
- Li-Yuan Ma
- Content type: Original paper
- Published: 18 June 2021
- Pages: 629 - 641
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Integrability, discrete kink multi-soliton solutions on an inclined plane background and dynamics in the modified exponential Toda lattice equation
Authors
- Cui-Lian Yuan
- Xiao-Yong Wen
- Content type: Original paper
- Published: 17 June 2021
- Pages: 643 - 669
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Different wave structures for the completely generalized Hirota–Satsuma–Ito equation
Authors
- Li-Juan Peng
- Content type: Original paper
- Published: 15 June 2021
- Pages: 707 - 716
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Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN
Authors (first, second and last of 4)
- Yin Fang
- Gang-Zhou Wu
- Chao-Qing Dai
- Content type: Original paper
- Published: 14 June 2021
- Pages: 603 - 616
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Accelerated magnetosonic lump wave solutions by orbiting charged space debris
Authors
- S. P. Acharya
- A. Mukherjee
- M. S. Janaki
- Content type: Original paper
- Published: 11 June 2021
- Pages: 671 - 689
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Numerical solutions of Schrödinger wave equation and Transport equation through Sinc collocation method
Authors (first, second and last of 7)
- Iftikhar Ahmad
- Syed Ibrar Hussain
- Tareq Saeed
- Content type: Original paper
- Published: 09 June 2021
- Pages: 691 - 705
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Nonautonomous lump waves of a (3+1)-dimensional Kudryashov–Sinelshchikov equation with variable coefficients in bubbly liquids
Authors (first, second and last of 5)
- Zhengran Hu
- Feifan Wang
- Min Li
- Content type: Original paper
- Published: 06 June 2021
- Pages: 4367 - 4378
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Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation
Authors
- Yu-Hang Yin
- Xing Lü
- Wen-Xiu Ma
- Content type: Original paper
- Published: 04 June 2021
- Pages: 4181 - 4194
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Dynamic of the smooth positons of the higher-order Chen–Lee–Liu equation
Authors
- Aijuan Hu
- Maohua Li
- Jingsong He
- Content type: Original paper
- Published: 04 June 2021
- Pages: 4329 - 4338
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Regular dynamics of active particles in the Van der Pol–Morse chain
Authors
- A. V. Bochkarev
- A. I. Zemlyanukhin
- Content type: Original paper
- Published: 03 June 2021
- Pages: 4163 - 4180
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Localized solutions of (5+1)-dimensional evolution equations
Authors (first, second and last of 5)
- Li-Li Zhang
- Jian-Ping Yu
- Yong-Li Sun
- Content type: Original paper
- Published: 02 June 2021
- Pages: 4317 - 4327
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Collision-induced amplitude dynamics of fast 2D solitons in saturable nonlinear media with weak nonlinear loss
Authors
- Quan M. Nguyen
- Toan T. Huynh
- Content type: Original paper
- Published: 26 May 2021
- Pages: 4339 - 4353
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Modulation instability analysis of a nonautonomous \((3+1)\)-dimensional coupled nonlinear Schrödinger equation
Authors
- Arvind Patel
- Vineesh Kumar
- Content type: Original paper
- Published: 26 May 2021
- Pages: 4355 - 4365
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Analytical solutions of solitary waves and their collision stability in a pre-compressed one-dimensional granular crystal
Authors (first, second and last of 4)
- Zhi-Guo Liu
- Jinliang Zhang
- Guoliang Huang
- Content type: Original paper
- Published: 26 May 2021
- Pages: 4293 - 4309
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Analysis and numerical approximation to time-fractional diffusion equation with a general time-dependent variable order
Authors
- Xiangcheng Zheng
- Hong Wang
- Content type: Original paper
- Published: 21 May 2021
- Pages: 4203 - 4219
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Nonlocal symmetries and molecule structures of the KdV hierarchy
Authors
- Xiazhi Hao
- Content type: Original paper
- Published: 20 May 2021
- Pages: 4277 - 4291
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Two new Painlevé integrable KdV–Calogero–Bogoyavlenskii–Schiff (KdV-CBS) equation and new negative-order KdV-CBS equation
Authors
- Abdul-Majid Wazwaz
- Content type: Original paper
- Published: 19 May 2021
- Pages: 4311 - 4315
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Dynamic behaviors of general N-solitons for the nonlocal generalized nonlinear Schrödinger equation
Authors
- Minmin Wang
- Yong Chen
- Content type: Original paper
- Published: 11 May 2021
- Pages: 2621 - 2638
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Evolutionary behavior and novel collision of various wave solutions to (3+1)-dimensional generalized Camassa–Holm Kadomtsev–Petviashvili equation
Authors
- Yueyang Feng
- Xiaomin Wang
- Sudao Bilige
- Content type: Original paper
- Published: 03 May 2021
- Pages: 4265 - 4275
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Compensation process and generation of chirped femtosecond solitons and double-kink solitons in Bose–Einstein condensates with time-dependent atomic scattering length in a time-varying complex potential
Authors
- Emmanuel Kengne
- Ahmed Lakhssassi
- Content type: Original paper
- Published: 03 May 2021
- Pages: 4221 - 4240
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Dynamics of spatiotemporal modulated damped signals in a nonlinear RLC transmission network
Authors
- Emmanuel Kengne
- Elvis Benzo Ngompe Nkouankam
- Ahmed Lakhssassi
- Content type: Original paper
- Published: 03 May 2021
- Pages: 4181 - 4201
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Bubbles and W-shaped solitons in Kerr media with fractional diffraction
Authors (first, second and last of 7)
- Liangwei Zeng
- Boris A. Malomed
- Jingzhen Li
- Content type: Original paper
- Published: 30 April 2021
- Pages: 4253 - 4264
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Rogue and semi-rogue waves defined by volume
Authors
- A. Ankiewicz
- Content type: Original paper
- Published: 21 April 2021
- Pages: 4241 - 4252
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The bound-state soliton solutions of a higher-order nonlinear Schrödinger equation for inhomogeneous Heisenberg ferromagnetic system
Authors (first, second and last of 4)
- Jin-Jin Mao
- Shou-Fu Tian
- Lin-Fei Shi
- Content type: Original paper
- Published: 15 April 2021
- Pages: 2639 - 2652
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Bright soliton solutions of the (2+1)-dimensional generalized coupled nonlinear Schrödinger equation with the four-wave mixing term
Authors (first, second and last of 6)
- Lili Wang
- Zitong Luan
- Wenjun Liu
- Content type: Original paper
- Published: 13 April 2021
- Pages: 2613 - 2620
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New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions
Authors
- Yu-Lan Ma
- Abdul-Majid Wazwaz
- Bang-Qing Li
- Content type: Original paper
- Published: 05 April 2021
- Pages: 1581 - 1594
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Group classification and exact solutions of a higher-order Boussinesq equation
Authors
- Yasin HasanoÄŸlu
- Cihangir Özemir
- Content type: Original paper
- Published: 05 April 2021
- Pages: 2599 - 2611
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Termination of a pinned spiral wave by the wave train with a free defect
Authors (first, second and last of 4)
- Guoyong Yuan
- Zhimei Gao
- Guangrui Wang
- Content type: Original paper
- Published: 30 March 2021
- Pages: 2583 - 2597
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An advanced meshless approach for the high-dimensional multi-term time-space-fractional PDEs on convex domains
Authors (first, second and last of 4)
- X. G. Zhu
- Y. F. Nie
- Z. B. Yuan
- Content type: Original paper
- Published: 29 March 2021
- Pages: 1555 - 1580
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A new (3 + 1)-dimensional Schrödinger equation: derivation, soliton solutions and conservation laws
Authors
- Gangwei Wang
- Content type: Original paper
- Published: 29 March 2021
- Pages: 1595 - 1602
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Dromion−like structures in a cubic−quintic nonlinear Schrödinger equation using analytical methods
Authors (first, second and last of 5)
- A. Muniyappan
- A. Suruthi
- J. Vijaycharles
- Content type: Original paper
- Published: 23 March 2021
- Pages: 1533 - 1544