Soliton-like solutions of three non-isospectral equations

DOI10.1007/S11741-005-0083-1zbMath1086.35098OpenAlexW2015431555MaRDI QIDQ5696690

Tong-Ke Ning, Jiaoyun Shi, Da-jun Zhang

Publication date: 18 October 2005

Published in: Journal of Shanghai University (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11741-005-0083-1

zbMATH Keywords

Hirota method

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 (1)

Solutions for non-isospectral variable coefficient KdV equation

Cites Work

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• Bäcklund transformations and their applications
• Soliton-like solutions for a nonisospectral KdV hierarchy
• The Bäcklund and Inverse Scattering Transform of the K-dV Equation with Nonuniformities
• Second Modified KdV Equation and Its Exact Multi-Soliton Solution
• Bäcklund transformations for the isospectral and nonisospectral AKNS hierarchies
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Nonpropagating solitons of the variable coefficient and nonisospectral Korteweg–de Vries equation
• Negatons, positons, rational-like solutions and conservation laws of the Korteweg–de Vries equation with loss and non-uniformity terms
• Backlund transformations for the isospectral and non-isospectral MKdV hierarchies

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