Soliton-like solutions for a nonisospectral KdV hierarchy

DOI10.1016/j.chaos.2003.12.047zbMath1049.35160OpenAlexW2125513788MaRDI QIDQ1878204

Da-jun Zhang, Deng-Yuan Chen, Tong-Ke Ning

Publication date: 19 August 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.12.047

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (7)

Multi-soliton management by the integrable nonautonomous nonlinear integro-differential Schrödinger equation ⋮ Exact solutions of a KdV equation hierarchy with variable coefficients ⋮ The exact solutions for a nonisospectral nonlinear Schrödinger equation ⋮ Solving the non-isospectral Ablowitz-Ladik hierarchy via the inverse scattering transform and reductions ⋮ The stochastic Korteweg-de Vries equation with loss and non-uniformity terms ⋮ Soliton-like solutions of three non-isospectral equations ⋮ Exact solutions and conservation laws for a nonisospectral sine-Gordon equation

Cites Work

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• Elementary Bäcklund transformations, nonlinear superposition formulae and algebraic construction of solutions for the nonlinear evolution equations solvable by the Zakharov-Shabat spectral transform
• Method for Solving the Korteweg-deVries Equation
• Nonpropagating solitons of the variable coefficient and nonisospectral Korteweg–de Vries equation
• The inverse scattering transform: Semi-infinite interval

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