On classification of soliton solutions of multicomponent nonlinear evolution equations

DOI10.1088/1751-8113/41/31/315213zbMath1143.37048OpenAlexW2106391590MaRDI QIDQ3519466

D. J. Kaup, Nikolay A. Kostov, Vladimir S. Gerdjikov, Tihomir I. Valchev

Publication date: 14 August 2008

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

Full work available at URL: https://doi.org/10.1088/1751-8113/41/31/315213

zbMATH Keywords

integrabilityreduction techniqueinverse scattering methodZakharov-Shabat systemdressing procedurefundamental analytic solutionsmulticomponent solitons

Mathematics Subject Classification ID

Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (5)

On the \(N\)-wave equations and soliton interactions in two and three dimensions ⋮ A coupled complex mKdV equation and its N-soliton solutions via the Riemann-Hilbert approach ⋮ On integrable wave interactions and Lax pairs on symmetric spaces ⋮ Nonlocal reductions of the multicomponent nonlinear Schrödinger equation on symmetric spaces ⋮ The \(N\)-wave equations with \(\mathcal{PT}\) symmetry

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