Darboux Transformation and Explicit Solutions for Discretized Modified Korteweg-de Vries Lattice Equation

DOI10.1088/0253-6102/53/5/07zbMath1219.35266OpenAlexW2020765325MaRDI QIDQ3020118

Xiao-Yong Wen, Yi-Tian Gao

Publication date: 3 August 2011

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/53/5/07

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (7)

Long-time asymptotic behavior for the discrete defocusing mKdV equation ⋮ The discrete modified Korteweg-de Vries equation under nonzero boundary conditions ⋮ A discrete KdV equation hierarchy: continuous limit, diverse exact solutions and their asymptotic state analysis ⋮ \(N\)-fold Darboux transformation and solitonic interactions for a Volterra lattice system ⋮ \(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves ⋮ Soliton interactions and conservation laws in a semi-discrete modified KdV equation ⋮ Various soliton solutions and asymptotic state analysis for the discrete modified Korteweg-de Vries equation

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