Integrability and soliton interaction of a resonant nonlinear Schrödinger equation via binary Bell polynomials

DOI10.1016/j.nonrwa.2012.11.003zbMath1270.37046OpenAlexW2044886458MaRDI QIDQ1940173

Tian-Zhong Yan, Bo Tian, Min Li, Jinghua Xiao

Publication date: 6 March 2013

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.11.003

zbMATH Keywords

integrabilityresonant interactionsbinary Bell polynomialsresonant nonlinear Schrödinger equation

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Other special orthogonal polynomials and functions (33C47) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

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