Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized \((2 + 1)\)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics

DOI10.1007/s11071-020-06154-9zbMath1517.37074MaRDI QIDQ6174296

Dan-Yu Yang, Bo Tian, He-Yuan Tian, Unnamed Author

Publication date: 16 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

zbMATH Keywords

nonlinear wave equationnonlinear opticsplasma physicsfluid mechanicsLax pairnoise perturbationsbilinear Bäcklund transformationinteractions of nonlinear waves

Mathematics Subject Classification ID

Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (5)

Lie symmetry reductions and generalized exact solutions of Date-Jimbo-Kashiwara-Miwa equation ⋮ \( \bar{\partial } \)-dressing method for a generalized \((2 + 1)\)-dimensional nonlinear wave equation ⋮ The integrability of a \((2+1)\)-dimensional nonlinear wave equation: Painlevé property, multi-order breathers, multi-order lumps and hybrid solutions ⋮ Hetero-Bäcklund transformation, bilinear forms and \(N\) solitons for a generalized three-coupled Korteweg-de Vries system ⋮ Higher-order hybrid waves for the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique

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