Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system

DOI10.1016/S0893-9659(00)00052-5zbMath0983.37086MaRDI QIDQ1585544

Dao-Liu Wang, Hon-Wah Tam, Xing-Biao Hu

Publication date: 16 November 2000

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

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (11)

Hamiltonian structures of a coupled Ramani equation ⋮ A new analytic solution of fractional coupled Ramani equation ⋮ Exact solutions of coupled nonlinear evolution equations ⋮ A Bargmann system and the involutive solutions associated with a new 4-order lattice hierarchy ⋮ Multiple soliton solutions for the sixth-order Ramani equation and a coupled Ramani equation ⋮ Solitary solutions of some nonlinear evolution equations ⋮ Soliton solutions of a coupled Ramani equation ⋮ Bilinear Bäcklund transformation and Lax pair for a coupled Ramani equation ⋮ THE PAINLEVÉ INTEGRABILITY AND N-SOLITONIC SOLUTION IN TERMS OF THE WRONSKIAN DETERMINANT FOR A VARIABLE-COEFFICIENT VARIANT BOUSSINESQ MODEL OF NONLINEAR WAVES ⋮ Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves ⋮ Integrability for the generalised variable-coefficient fifth-order Korteweg-de Vries equation with Bell polynomials

Uses Software

• Mathematica

Cites Work

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• Bilinear transformation method
• Coupled KdV equations with multi-Hamiltonian structures
• Mathematics of dispersive water waves
• A Higher-Order Water-Wave Equation and the Method for Solving It
• A direct method for dromion solutions of the Davey-Stewartson equations and their asymptotic properties
• Theory of a Solid State Plasma Waveguide in a Transverse Magnetic Field

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