Integrability study on a generalized (2+1)-dimensional variable-coefficient Gardner model with symbolic computation

DOI10.1063/1.3494154zbMath1311.35261OpenAlexW2085415834WikidataQ51609901 ScholiaQ51609901MaRDI QIDQ5251322

Xing Lü, Hai-Qiang Zhang, Bo Tian, He Li, Tao Xu

Publication date: 20 May 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3494154

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) 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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (8)

Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model ⋮ Multi-soliton and Pfaffian solutions of a \((2+1)\)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy ⋮ N -Soliton Solution and Soliton Resonances for the (2+1)-Dimensional Inhomogeneous Gardner Equation ⋮ Dynamics of the Manakov-typed bound vector solitons with random initial perturbations ⋮ Generalized (2 + 1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms ⋮ Painlevé-integrability and explicit solutions of the general two-coupled nonlinear Schrödinger system in the optical fiber communications ⋮ Darboux transformation and nonautonomous solitons for a modified Kadomtsev-Petviashvili equation with variable coefficients ⋮ Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids

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