On quasiperiodic wave solutions and integrability to a generalized \((2+1)\)-dimensional Korteweg-de Vries equation
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Publication:330997
DOI10.1007/s11071-015-2297-5zbMath1348.37109OpenAlexW1062971925MaRDI QIDQ330997
Mei-Juan Xu, Jian-Min Tu, Tian-Tian Zhang, Pan-Li Ma, Shou-Fu Tian
Publication date: 26 October 2016
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-015-2297-5
Lax pairssoliton solutionBell's polynomialsperiodic wave solutionbilinear Bäcklund transformationa generalized \((2+1)\)-dimensional KdV equation
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) Statistical mechanics of plasmas (82D10) Soliton solutions (35C08)
Related Items (8)
Abundant rogue wave solutions for the \((2 + 1)\)-dimensional generalized Korteweg-de Vries equation ⋮ Quasiperiodic waves, solitary waves and asymptotic properties for a generalized \((3+1)\)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation ⋮ Rogue waves, bright-dark solitons and traveling wave solutions of the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation ⋮ Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation ⋮ Bäcklund transformation, rogue wave solutions and interaction phenomena for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation ⋮ Characteristics of the solitary waves and lump waves with interaction phenomena in a \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation ⋮ M-lump and interactive solutions to a \((3+1)\)-dimensional nonlinear system ⋮ THE BREATHER WAVE SOLUTIONS, M-LUMP SOLUTIONS AND SEMI-RATIONAL SOLUTIONS TO A (2+1)-DIMENSIONAL GENERALIZED KORTEWEG-DE VRIES EQUATION
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