Bäcklund transformation and multi-soliton solutions for the discrete Korteweg-de Vries equation

DOI10.1016/j.aml.2021.107747zbMath1487.35341OpenAlexW3208724943MaRDI QIDQ2060826

Bo Gao, Zhong-Zhou Lan, Suyalatu Dong, Yu-Jia Shen

Publication date: 13 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107747

zbMATH Keywords

Hirota bilinear methodBäcklund transformationmulti-soliton solutionsbinary Bell polynomialsdiscrete Korteweg-de Vries equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

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Cites Work

• Solving the discrete KdV equation with homotopy analysis method
• \(N\)th-order rogue waves for the \(AB\) system via the determinants
• Dark soliton solutions for a coupled nonlinear Schrödinger system
• Rogue wave solutions and modulation instability for the mixed nonlinear Schrödinger equation
• Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
• On the combinatorics of the HirotaD-operators
• Infinitely many conservation laws for the discrete KdV equation
• Nonlinear superposition formulae for the differential-difference analogue of the KdV equation and two-dimensional Toda equation
• Bell-polynomial approach and N-soliton solution for the extended Lotka–Volterra equation in plasmas

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