Bäcklund transformation and smooth multisoliton solutions for a modified Camassa-Holm equation with cubic nonlinearity

DOI10.1063/1.4807417zbMath1298.37056arXiv1302.0107OpenAlexW2088881554MaRDI QIDQ5402283

Yoshimasa Matsuno

Publication date: 6 March 2014

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

Full work available at URL: https://arxiv.org/abs/1302.0107

zbMATH Keywords

Bäcklund transformationmultisoliton solutionsmodified Camassa-Holm equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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) Soliton solutions (35C08)

Related Items (15)

Nonlocal symmetries and Darboux transformations of the Camassa–Holm equation and modified Camassa–Holm equation revisited ⋮ Bilinear equations and new multi-soliton solution for the modified Camassa-Holm equation ⋮ On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions ⋮ Solving the modified Camassa-Holm equation via the inverse scattering transform ⋮ An integrable semidiscretization of the modified Camassa–Holm equation with linear dispersion term ⋮ Liouville correspondences between multicomponent integrable hierarchies ⋮ A Riemann–Hilbert approach to the modified Camassa–Holm equation with nonzero boundary conditions ⋮ Integrable generalization of the modified Camassa-Holm equation in \(2 + 1\) dimensions ⋮ Multisoliton solutions of the two-component Camassa–Holm system and their reductions ⋮ A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions ⋮ Solitons for the modified Camassa-Holm equation and their interactions via dressing method ⋮ Liouville Integrability of Conservative Peakons for a Modified CH equation ⋮ Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation ⋮ A view of the peakon world through the lens of approximation theory ⋮ The modified Camassa–Holm equation: Bäcklund transformation and nonlinear superposition formula

Cites Work

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