Dressing method for the vector sine-Gordon equation and its soliton interactions

DOI10.1016/j.physd.2016.01.010zbMath1364.35193arXiv1506.01878OpenAlexW572338244WikidataQ57949806 ScholiaQ57949806MaRDI QIDQ2357608

Jing Ping Wang, Alexander V. Mikhailov, Georgios Papamikos

Publication date: 14 June 2017

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01878

zbMATH Keywords

dressing methodmulti-soliton solutionsreduction groupvector sine-Gordon equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (8)

Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. II. Special Solutions ⋮ The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation ⋮ Geometric Formulation and Multi‐dark Soliton Solution to the Defocusing Complex Short Pulse Equation ⋮ Drinfel'd-Sokolov construction and exact solutions of vector modified KdV hierarchy ⋮ Darboux transformation for the vector sine-Gordon equation and integrable equations on a sphere ⋮ Wave fronts and cascades of soliton interactions in the periodic two dimensional Volterra system ⋮ Dark-dark solitons, soliton molecules and elastic collisions in the mixed three-level coupled Maxwell-Bloch equations ⋮ Dressing for a Vector Modified KdV Hierarchy

Cites Work

• Unnamed Item
• Unnamed Item
• Interaction properties of complex modified Korteweg-de Vries (mKdV) solitons
• The reduction problem and the inverse scattering method
• Nonlinear Schrödinger equations and simple Lie algebras
• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• Lagrangian formulation of symmetric space sine-Gordon models.
• Sine-Gordon solitons, kinks and breathers as physical models of nonlinear excitations in living cellular structures
• Hamiltonian flows of curves in \(G/\text{SO}(N)\) and vector soliton equations of mKdV and sine-Gordon type
• Some Symmetry Classifications of Hyperbolic Vector Evolution Equations

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