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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Vortex soliton solutions of a (3 + 1)-dimensional Gross–Pitaevskii equation with partially nonlocal distributed coefficients under a linear potential
Authors
- Hong-Yu Wu
- Li-Hong Jiang
- Content type: Original paper
- Published: 06 September 2020
- Pages: 2441 - 2448
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N-order rogue waves and their novel colliding dynamics for a transient stimulated Raman scattering system arising from nonlinear optics
Authors
- Bang-Qing Li
- Yu-Lan Ma
- Content type: Original paper
- Published: 03 September 2020
- Pages: 2449 - 2461
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The dynamic behaviors between multi-soliton of the generalized \(\pmb {(3+1)}\)-dimensional variable coefficients Kadomtsev–Petviashvili equation
Authors
- Yanxia Wang
- Ben Gao
- Content type: Original paper
- Published: 30 August 2020
- Pages: 2463 - 2470
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Bifurcations and exact solutions of an asymptotic rotation-Camassa–Holm equation
Authors
- Jianli Liang
- Jibin Li
- Yi Zhang
- Content type: Original paper
- Published: 16 August 2020
- Pages: 2423 - 2439
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Exact solutions with elastic interactions for the (2 \(+\) 1)-dimensional extended Kadomtsev–Petviashvili equation
Authors (first, second and last of 4)
- Jutong Guo
- Jingsong He
- Dumitru Mihalache
- Content type: Original paper
- Published: 14 August 2020
- Pages: 2413 - 2422
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Stabilization of uni-directional water wave trains over an uneven bottom
Authors (first, second and last of 5)
- Andrea Armaroli
- Alexis Gomel
- Jérôme Kasparian
- Content type: Original paper
- Open Access
- Published: 30 July 2020
- Pages: 1131 - 1145
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Propagation dynamics of tripole breathers in nonlocal nonlinear media
Authors (first, second and last of 4)
- Jian-Li Guo
- Zhen-Jun Yang
- Zhao-Guang Pang
- Content type: Original paper
- Published: 25 July 2020
- Pages: 1147 - 1157
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Multiwave interaction solutions for a (3+1)-dimensional nonlinear evolution equation
Authors
- Wenying Cui
- Wei Li
- Yinping Liu
- Content type: Original paper
- Published: 17 July 2020
- Pages: 1119 - 1129
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Bright-dark soliton, breather and semirational rogue wave solutions for a coupled AB system
Authors
- Xi-Yang Xie
- Zhong-Yu Liu
- Dong-Yi Xu
- Content type: Original paper
- Published: 15 July 2020
- Pages: 633 - 638
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Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation
Authors
- Ting Ji
- Yunyun Zhai
- Content type: Original paper
- Published: 10 July 2020
- Pages: 619 - 631
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Influence of fourth-order dispersion on the Anderson localization
Authors
- Mateus C. P. dos Santos
- Wesley B. Cardoso
- Content type: Original paper
- Published: 09 July 2020
- Pages: 611 - 618
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Controllable soliton transition and interaction in nonlocal nonlinear media
Authors
- Qing Wang
- JianRong Yang
- Guo Liang
- Content type: Original paper
- Published: 08 August 2020
- Pages: 1169 - 1179
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Nonlinear control for soliton interactions in optical fiber systems
Authors (first, second and last of 5)
- Pei Zhang
- Cheng Hu
- Wenjun Liu
- Content type: Original paper
- Published: 10 August 2020
- Pages: 1215 - 1220
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Rogue waves for the Hirota equation on the Jacobi elliptic cn-function background
Authors
- Xia Gao
- Hai-Qiang Zhang
- Content type: Original paper
- Published: 05 August 2020
- Pages: 1159 - 1168
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Synchronous oscillations and symmetry breaking in a model of two interacting ultrasound contrast agents
Authors
- Ivan R. Garashchuk
- Alexey O. Kazakov
- Dmitry I. Sinelshchikov
- Content type: Original paper
- Published: 13 August 2020
- Pages: 1199 - 1213
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Riemann–Hilbert approach and N-soliton solutions for a new two-component Sasa–Satsuma equation
Authors (first, second and last of 4)
- Jia Wang
- Ting Su
- Ruomeng Li
- Content type: Original paper
- Published: 01 July 2020
- Pages: 597 - 609
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Dynamics of localized wave solutions for the coupled Higgs field equation
Authors
- Zhaqilao
- Content type: Original paper
- Published: 13 August 2020
- Pages: 1181 - 1198
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Nonlinear modes in spatially confined spin–orbit-coupled Bose–Einstein condensates with repulsive nonlinearity
Authors (first, second and last of 8)
- Xiong-wei Chen
- Zhi-gui Deng
- Yong-yao Li
- Content type: Original paper
- Published: 27 June 2020
- Pages: 569 - 579
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Bidirectional solitons and interaction solutions for a new integrable fifth-order nonlinear equation with temporal and spatial dispersion
Authors
- Gui-Qiong Xu
- Abdul-Majid Wazwaz
- Content type: Original paper
- Published: 20 June 2020
- Pages: 581 - 595
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Unstable cardiac multi-spiral waves in a FitzHugh–Nagumo soliton model under magnetic flow effect
Authors
- Conrad B. Tabi
- Armand S. Etémé
- Timoléon C. Kofané
- Content type: Original paper
- Published: 13 June 2020
- Pages: 3799 - 3814
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Soliton and breather molecules in few-cycle-pulse optical model
Authors
- Man Jia
- Ji Lin
- Sen Yue Lou
- Content type: Original paper
- Published: 13 June 2020
- Pages: 3745 - 3757
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Symmetry breaking bifurcations in the NLS equation with an asymmetric delta potential
Authors
- Rahmi Rusin
- Robert Marangell
- Hadi Susanto
- Content type: Original paper
- Published: 13 June 2020
- Pages: 3815 - 3824
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Chebyshev spectral methods for multi-order fractional neutral pantograph equations
Authors (first, second and last of 6)
- S. S. Ezz-Eldien
- Y. Wang
- J. Tenreiro Machado
- Content type: Original paper
- Published: 12 June 2020
- Pages: 3785 - 3797
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An integro-differential equation for dynamical systems with diffusion-mediated coupling
Authors
- Raul P. Aristides
- Ricardo L. Viana
- Content type: Original paper
- Published: 09 June 2020
- Pages: 3759 - 3770
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Nonlinear waves behaviors for a coupled generalized nonlinear Schrödinger–Boussinesq system in a homogeneous magnetized plasma
Authors
- Zhong-Zhou Lan
- Bo-Ling Guo
- Content type: Original paper
- Published: 08 June 2020
- Pages: 3771 - 3784
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Kadomtsev–Petviashvili hierarchy: two integrable equations with time-dependent coefficients
Authors
- Abdul-Majid Wazwaz
- Gui-Qiong Xu
- Content type: Original paper
- Published: 06 June 2020
- Pages: 3711 - 3716
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Coupled cubic-quintic nonlinear Schrödinger equation: novel bright–dark rogue waves and dynamics
Authors
- Xue-Wei Yan
- Jiefang Zhang
- Content type: Original paper
- Published: 22 May 2020
- Pages: 3733 - 3743
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Dynamics of solitons and breathers on a periodic waves background in the nonlocal Mel’nikov equation
Authors
- Yunkai Liu
- Biao Li
- Content type: Original paper
- Published: 20 May 2020
- Pages: 3717 - 3731
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Bright soliton solutions to a nonlocal nonlinear Schrödinger equation of reverse-time type
Authors
- Junchao Chen
- Qixiu Yan
- Content type: Original paper
- Published: 14 May 2020
- Pages: 2807 - 2816
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The coupled derivative nonlinear Schrödinger equation: conservation laws, modulation instability and semirational solutions
Authors
- Tao Xu
- Guoliang He
- Content type: Original paper
- Published: 14 May 2020
- Pages: 2823 - 2837
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Several categories of exact solutions of the third-order flow equation of the Kaup–Newell system
Authors (first, second and last of 4)
- Huian Lin
- Jingsong He
- Dumitru Mihalache
- Content type: Original paper
- Published: 12 May 2020
- Pages: 2839 - 2858
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Bilinear form, soliton, breather, lump and hybrid solutions for a (\(\varvec{2+1}\))-dimensional Sawada–Kotera equation
Authors (first, second and last of 6)
- Liu-Qing Li
- Yi-Tian Gao
- Yu-Jie Feng
- Content type: Original paper
- Published: 30 April 2020
- Pages: 2729 - 2738
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Interactions among solitons for a fifth-order variable coefficient nonlinear Schrödinger equation
Authors (first, second and last of 5)
- Suzhi Liu
- Qin Zhou
- Wenjun Liu
- Content type: Original paper
- Published: 30 April 2020
- Pages: 2797 - 2805
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M-lump, high-order breather solutions and interaction dynamics of a generalized \((2 + 1)\)-dimensional nonlinear wave equation
Authors
- Zhonglong Zhao
- Lingchao He
- Content type: Original paper
- Published: 29 April 2020
- Pages: 2753 - 2765
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Periodic soliton interactions for higher-order nonlinear Schrödinger equation in optical fibers
Authors (first, second and last of 6)
- Jigen Chen
- Zitong Luan
- Wenjun Liu
- Content type: Original paper
- Published: 25 April 2020
- Pages: 2817 - 2821
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The rational and semi-rational solutions to the Hirota Maccari system
Authors (first, second and last of 4)
- Rui Wang
- Yi Zhang
- Ru-suo Ye
- Content type: Original paper
- Published: 25 April 2020
- Pages: 2767 - 2778
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Various exact analytical solutions of a variable-coefficient Kadomtsev–Petviashvili equation
Authors
- Jian-Guo Liu
- Wen-Hui Zhu
- Content type: Original paper
- Published: 25 April 2020
- Pages: 2739 - 2751
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Deformed breather and rogue waves for the inhomogeneous fourth-order nonlinear Schrödinger equation in alpha-helical proteins
Authors
- Gao-Qing Meng
- Yu-Song Pan
- Xi-Yang Xie
- Content type: Original paper
- Published: 24 April 2020
- Pages: 2779 - 2795
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Lump-type solution and breather lump–kink interaction phenomena to a (\(\mathbf{{3{\varvec{+}}1}}\))-dimensional GBK equation based on trilinear form
Authors
- Litao Gai
- Wen-Xiu Ma
- Mingchu Li
- Content type: Original paper
- Published: 20 April 2020
- Pages: 2715 - 2727
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Controlling effect of vector and scalar crossed double-Ma breathers in a partially nonlocal nonlinear medium with a linear potential
Authors
- Chao-Qing Dai
- Jie-Fang Zhang
- Content type: Original paper
- Published: 13 April 2020
- Pages: 1621 - 1628
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The mixed interaction of localized, breather, exploding and solitary wave for the (3+1)-dimensional Kadomtsev–Petviashvili equation in fluid dynamics
Authors (first, second and last of 6)
- Weitian Yu
- Hongxin Zhang
- Wenjun Liu
- Content type: Original paper
- Published: 10 April 2020
- Pages: 1611 - 1619
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Snakelike similaritons in combined harmonic-lattice potentials with a varying source
Authors
- Jun-Rong He
- Wen-Wu Deng
- Li Xue
- Content type: Original paper
- Published: 06 April 2020
- Pages: 1599 - 1609
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Soliton elastic interactions and dynamical analysis of a reduced integrable nonlinear Schrödinger system on a triangular-lattice ribbon
Authors
- Hao-Tian Wang
- Xiao-Yong Wen
- Content type: Original paper
- Published: 02 April 2020
- Pages: 1571 - 1587
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Nonlinear localized waves resonance and interaction solutions of the (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation
Authors (first, second and last of 5)
- Juanjuan Wu
- Yaqing Liu
- Deng-Shan Wang
- Content type: Original paper
- Published: 21 March 2020
- Pages: 1527 - 1541
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Controllable propagation path of imaginary value off-axis vortex soliton in nonlocal nonlinear media
Authors
- Qing Wang
- ZhenZhou Deng
- Content type: Original paper
- Published: 20 March 2020
- Pages: 1589 - 1598
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Novel soliton molecules and breather-positon on zero background for the complex modified KdV equation
Authors
- Zhao Zhang
- Xiangyu Yang
- Biao Li
- Content type: Original paper
- Published: 18 March 2020
- Pages: 1551 - 1557
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Embedded solitons in the \((2+1)\)-dimensional sine-Gordon equation
Authors (first, second and last of 4)
- WenYe Zhong
- Wei-Ping Zhong
- Guofa Cai
- Content type: Original paper
- Published: 13 March 2020
- Pages: 1519 - 1526
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Dynamics of loop soliton solutions of \({\pmb {\mathcal {PT}}}\)-symmetric nonlocal short pulse equation
Authors
- Y. Hanif
- H. Sarfraz
- U. Saleem
- Content type: Original paper
- Published: 06 March 2020
- Pages: 1559 - 1569
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Excitation management of crossed Akhmediev and Ma breather for a nonautonomous partially nonlocal Gross–Pitaevskii equation with an external potential
Authors
- Yi-Xiang Chen
- Fang-Yan Ou-Yang
- Content type: Original paper
- Published: 04 March 2020
- Pages: 1543 - 1550