Bäcklund transformation of variable-coefficient Boiti-Leon-Manna-Pempinelli equation

DOI10.1016/j.aml.2019.02.029zbMath1412.35055OpenAlexW2919820101MaRDI QIDQ1739479

Lin Luo

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.02.029

zbMATH Keywords

Bäcklund transformationLax pairBell polynomial techniquevariable-coefficient BLMP equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton solutions (35C08) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (5)

Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation ⋮ Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients ⋮ Lump and lump-kink soliton solutions of an extended Boiti-Leon-Manna-Pempinelli equation ⋮ Painlevé analysis, Bäcklund transformations and traveling-wave solutions for a (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation in a fluid ⋮ Integrability and exact solutions of the (2+1)-dimensional KdV equation with Bell polynomials approach

Cites Work

• Symmetries and their Lie algebra of a variable coefficient Korteweg-de Vries hierarchy
• The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials
• Quasiperiodic solutions of the Kadomtsev-Petviashvili equation via the multidimensional Baker-Akhiezer function generated by the Broer-Kaup hierarchy
• A note on the generalized symmetries of lattice hierarchies
• Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons
• Invariant subspaces and conditional Lie-Bäcklund symmetries of inhomogeneous nonlinear diffusion equations
• Rational solutions of a differential-difference KdV equation, the Toda equation and the discrete KdV equation
• An exact solution for a derivative nonlinear Schrödinger equation
• Integrable properties of the general coupled nonlinear Schrödinger equations
• (2+1)-dimensional integrable lattice hierarchies related to discrete fourth-order nonisospectral problems

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