Citations (25)
Keep up to date with the latest research on this topic with citation updates for this article.
Read on this site (2)
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2022) Oceanic long-gravity-water-wave investigations on a variable-coefficient nonlinear dispersive-wave system. Waves in Random and Complex Media 0:0, pages 1-17.
Read now
Read now
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Cosmic dusty plasmas via a (3+1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili-Burgers-type equation: auto-Bäcklund transformations, solitons and similarity reductions plus observational/experimental supports. Waves in Random and Complex Media 0:0, pages 1-21.
Read now
Read now
Articles from other publishers (23)
Linming Qi, Lu Liu & Weiliang Zhao. (2024) Mixed localized waves in the coupled nonlinear Schrödinger equation with higher-order effects. Chaos, Solitons & Fractals 182, pages 114725.
Crossref
Crossref
Shuoshuo Jia, Heping Jia, Rongcao Yang & Kaikai Fan. (2023) Superposition of modulated nonlinear waves in inhomogeneous systems with negative coherent coupling. Physica Scripta 98:11, pages 115259.
Crossref
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2022) Bilinear Auto-Bäcklund Transformations and Similarity Reductions for a (3+1)-dimensional Generalized Yu-Toda-Sasa-Fukuyama System in Fluid Mechanics and Lattice Dynamics. Qualitative Theory of Dynamical Systems 21:4.
Crossref
Crossref
Xi-Hu Wu, Yi-Tian Gao, Xin Yu, Cui-Cui Ding, Lei Hu & Liu-Qing Li. (2022) Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan–Porsezian–Daniel equation. Wave Motion 114, pages 103036.
Crossref
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2022)
Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and
solitons
. Chaos, Solitons & Fractals 162, pages 112486.
Crossref
Crossref
Xi-Hu Wu, Yi-Tian Gao, Xin Yu, Cui-Cui Ding & Liu-Qing Li. (2022) Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation. Chaos, Solitons & Fractals 162, pages 112399.
Crossref
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2022) Auto-Bäcklund Transformation, Similarity Reductions and Solitons of an Extended ($$2+1$$)-Dimensional Coupled Burgers System in Fluid Mechanics. Qualitative Theory of Dynamical Systems 21:3.
Crossref
Crossref
Tian-Yu Zhou, Bo Tian, Chen-Rong Zhang & Shao-Hua Liu. (2022) Auto-Bäcklund transformations, bilinear forms, multiple-soliton, quasi-soliton and hybrid solutions of a (3+1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation in an electron-positron plasma. The European Physical Journal Plus 137:8.
Crossref
Crossref
Liu-Qing Li, Yi-Tian Gao, Xin Yu, Cui-Cui Ding & Dong Wang. (2022) Bilinear form and nonlinear waves of a (1+1)-dimensional generalized Boussinesq equation for the gravity waves over water surface. Mathematics and Computers in Simulation 198, pages 494-508.
Crossref
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2022) Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics. Chaos, Solitons & Fractals 161, pages 112293.
Crossref
Crossref
Xi-Hu Wu, Yi-Tian Gao, Xin Yu, Cui-Cui Ding, Fei-Yan Liu & Ting-Ting Jia. (2022)
Darboux transformation, bright and dark–bright solitons of an
N
-coupled high-order nonlinear Schrödinger system in an optical fiber
. Modern Physics Letters B 36:21.
Crossref
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2022) Similarity reductions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev–Petviashvili equation in fluid dynamics. Chinese Journal of Physics 77, pages 2707-2712.
Crossref
Crossref
Liu-Qing Li, Yi-Tian Gao, Xin Yu, Ting-Ting Jia, Lei Hu & Cai-Yin Zhang. (2022) Bilinear forms, bilinear Bäcklund transformation, soliton and breather interactions of a damped variable-coefficient fifth-order modified Korteweg–de Vries equation for the surface waves in a strait or large channel. Chinese Journal of Physics 77, pages 915-926.
Crossref
Crossref
Lei Hu, Yi-Tian Gao, Ting-Ting Jia, Gao-Fu Deng & Jing-Jing Su. (2022) Bilinear forms, N-soliton solutions, breathers and lumps for a (2+1)-dimensional generalized breaking soliton system. Modern Physics Letters B 36:15.
Crossref
Crossref
Liu-Qing Li, Yi-Tian Gao, Xin Yu, Gao-Fu Deng & Cui-Cui Ding. (2021) Gramian solutions and solitonic interactions of a (2+1)-dimensional Broer–Kaup–Kupershmidt system for the shallow water. International Journal of Numerical Methods for Heat & Fluid Flow 32:7, pages 2282-2298.
Crossref
Crossref
Liu-Qing Li, Yi-Tian Gao, Xin Yu & Fei-Yan Liu. (2022) Lie group analysis, optimal system and analytic solutions of a (3+1)-dimensional generalized Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equation for the fluid flow around an offshore structure. The European Physical Journal Plus 137:5.
Crossref
Crossref
Tian-Yu Zhou, Bo Tian, Yu- Qi Chen & Yuan Shen. (2022) Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (2$$+$$1)-dimensional generalized Burgers system with the variable coefficients in a fluid. Nonlinear Dynamics 108:3, pages 2417-2428.
Crossref
Crossref
Fei-Yan Liu, Yi-Tian Gao, Xin Yu & Cui-Cui Ding. (2022) Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves. Nonlinear Dynamics 108:2, pages 1599-1616.
Crossref
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Comment on ‘Study of lump solutions to an extended Calogero-Bogoyavlenskii-Schiff equation involving three fourth-order terms’ (2020 Phys. Scr.
95 095207). Physica Scripta 96:12, pages 127001.
Crossref
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Hetero-Bäcklund Transformation, Bilinear Forms and N Solitons for a Generalized Three-Coupled Korteweg-de Vries System. Qualitative Theory of Dynamical Systems 20:3.
Crossref
Crossref
Xin-yi Gao, Yong-jiang Guo, Wen-rui Shan, Tian-yu Zhou, Meng Wang & Dan-yu Yang. (2021) In the Atmosphere and Oceanic Fluids: Scaling Transformations, Bilinear Forms, Bäcklund Transformations and Solitons for A Generalized Variable-Coefficient Korteweg-de Vries-Modified Korteweg-de Vries Equation. China Ocean Engineering 35:4, pages 518-530.
Crossref
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Looking at an open sea via a generalized $$(2+1)$$-dimensional dispersive long-wave system for the shallow water: scaling transformations, hetero-Bäcklund transformations, bilinear forms and N solitons. The European Physical Journal Plus 136:8.
Crossref
Crossref
Fei-Yan Liu, Yi-Tian Gao, Xin Yu, Liu-Qing Li, Cui-Cui Ding & Dong Wang. (2021) Lie group analysis and analytic solutions for a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation in fluid mechanics and plasma physics. The European Physical Journal Plus 136:6.
Crossref
Crossref