A Direct procedure on the Integrability of Nonisospectral and Variable-Coefficient MKdV Equation

DOI10.1142/S1402925112500027zbMath1246.35180OpenAlexW2128457028MaRDI QIDQ2883212

Yong Chen, Xiao-Rui Hu

Publication date: 11 May 2012

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1402925112500027

zbMATH Keywords

binary Bell polynomialsbilinear Bäcklund transformationinfinite conservation lawnonisospectral MKdV equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (4)

The extended Estabrook-Wahlquist method ⋮ Integrable spatiotemporally varying KdV and MKdV equations: Generalized Lax pairs and an extended Estabrook-Wahlquist method ⋮ Abundant explicit and exact solutions for the variable coefficient mKdV equations ⋮ Integrability of the modified generalised Vakhnenko equation

Cites Work

• Unnamed Item
• The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials
• Soliton equations and simple combinatorics
• New families of nontravelling wave solutions to a new (3+1)-dimensional potential-YTSF equation
• Exponential polynomials
• Symmetry reductions and soliton-like solutions for the variable coefficient MKdV equations
• Conservation laws of equation family with same Kac-Moody-Virasoro symmetry
• Extended tanh-function method and its applications to nonlinear equations
• Classical Darboux transformations and the KP hierarchy
• Nonlinear Evolution Equations Generated from the Backlund Transformation for the Boussinesq Equation
• On the combinatorics of the HirotaD-operators
• delta -dressing and exact solutions for the (2+1)-dimensional Harry Dym equation

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