BILINEARIZATION AND SOLUTIONS OF THE KdV6 EQUATION

DOI10.1142/S0219530508001249zbMath1155.35440OpenAlexW1981857876MaRDI QIDQ5503492

Ralph Willox, Alfred Ramani, Basile Grammaticos

Publication date: 15 January 2009

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530508001249

zbMATH Keywords

auto-Bäcklund transformation singularity analysis KdV bilinear formalism integrable evolution equations

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Solutions to PDEs in closed form (35C05)

Related Items

A note on ``The integrable KdV6 equation: Multiple soliton solutions and multiple singular soliton solutions ⋮ Generalized, Master and Nonlocal Symmetries of Certain Deformed Nonlinear Partial Differential Equations ⋮ New bilinearization, Bäcklund transformation and infinite conservation laws for the KdV6 equation with Bell polynomials ⋮ Analytical solutions to a generalized Drinfel'd-Sokolov equation related to DSSH and KdV6 ⋮ Integrability of Certain Deformed Nonlinear Partial Differential Equations ⋮ 2 + 1 KdV(N) equations ⋮ The geometric property of soliton solutions for the integrable KdV6 equations ⋮ Nonholonomic deformation of coupled and supersymmetric KdV equations and Euler–Poincaré–Suslov method ⋮ \(N\)-soliton and quasi-periodic solutions of the KdV6 equations

Cites Work