New dynamical behavior of two waves for (2+1)-dimensional Broer-Kaup equation

DOI10.22436/jnsa.010.03.15zbMath1412.35294OpenAlexW2597325410MaRDI QIDQ4631934

Zhengde Dai, Da-Quan Xian, Ying Jiang

Publication date: 23 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.03.15

zbMATH Keywords

coincidence pointdynamical behaviorvariable separationequivalent transformationBroer-Kaup equationgeneralized CK method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Painlevé analysis, Lie symmetries and exact solutions for \((2+1)\)-dimensional variable coefficients Broer-Kaup equations
• Non-Lie symmetry groups and new exact solutions of a \((2+1)\)-dimensional generalized Broer-Kaup system
• The non-traveling wave solutions and novel fractal soliton for the \((2 + 1)\)-dimensional Broer-Kaup equations with variable coefficients
• Applications of HTA and EHTA to YTSF equation
• Exotic localized structures based on a variable separation solution of the \((2+1)\)-dimensional higher-order Broer-Kaup system
• Painlevé analysis and special solutions of generalized Broer-Kaup equations
• Localized coherent structures of the \((2+1)\)-dimensional higher-order Broer-Kaup equations
• New exact solutions to the (2 + 1)-dimensional Broer-Kaup equation
• Doubly periodic wave and folded solitary wave solutions for \((2+1)\)-dimensional higher-order Broer-Kaup equation
• Exact solution and semifolded structures of generalized Broer-Kaup system in \((2+1)\)-dimensions
• Fission, fusion and annihilation in the interaction of localized structures for the \((2 + 1)\)-dimensional generalized Broer-Kaup system
• Some new types of multisoliton solutions for the \((2+1)\)-dimensional higher-order Broer-Kaup system
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