Fusion and fission phenomena for \(( 2 + 1 )\)-dimensional fifth-order KdV system
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Publication:2021474
DOI10.1016/j.aml.2020.107004zbMath1466.35320OpenAlexW3114626062MaRDI QIDQ2021474
Publication date: 27 April 2021
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2020.107004
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
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Cites Work
- Multi-kink solutions and soliton fission and fusion of Sharma-Tasso-Olver equation
- Interactions of breathers and solitons in the extended Korteweg-de Vries equation
- Lump-soliton solutions to the Fokas system
- Rational and semi-rational solutions of the \(y\)-nonlocal Davey-Stewartson I equation
- Soliton fusion and fission in a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids
- Soliton molecules in Sharma-Tasso-Olver-Burgers equation
- Soliton molecules and novel smooth positons for the complex modified KdV equation
- Families of semi-rational solutions to the Kadomtsev-Petviashvili I equation
- Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation
- KP Solitons and the Grassmannians
- Solitons and rational solutions of nonlinear evolution equations
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons