Dromion and other exact solutions of \((2+1)\)-dimensional dispersive long water equations

DOI10.1016/j.chaos.2004.02.016zbMath1062.35093OpenAlexW2021088112MaRDI QIDQ1772595

Deng-Yuan Chen, Tie-cheng Xia

Publication date: 21 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.02.016

zbMATH Keywords

Bäcklund transformationmultisolitonsingle soliton

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Solitary waves for incompressible inviscid fluids (76B25) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (4)

Fission and fusion interaction phenomena of the \((2+1)\)-dimensional dispersive long wave equations ⋮ Variational approach to \((2+1)\)-dimensional dispersive long water equations ⋮ The periodic wave solutions for the \((2+1)\)-dimensional dispersive long water equations ⋮ An improved generalized \(F\)-expansion method and its application to the \((2 + 1)\)-dimensional KdV equations

Cites Work

• Unnamed Item
• Dromion and other exact solutions of \((2+1)\)-dimensional Broer-Kaup equation.
• Dromion-like structures in the \((2+1)\)-dimensional breaking soliton equation
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• Exact Solutions for Initial Value Problems of the Davey-Stewartson I Equation under Some Localized Initial Conditions
• N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation
• Symmetries of the Kadomtsev-Petviashvili equation
• Singularity analysis and localized coherent structures in (2+1)-dimensional generalized Korteweg–de Vries equations
• Generalized dromion solutions of the (2+1)-dimensional KdV equation
• Infinitely many symmetries of the Davey-Stewartson equation

This page was built for publication: Dromion and other exact solutions of \((2+1)\)-dimensional dispersive long water equations