The determinant representation of Darboux transformation for the Kulish-Sklyanin model and novel soliton solutions for \(m = 2\)

DOI10.1016/j.aml.2021.107727zbMath1479.35023OpenAlexW3205007818MaRDI QIDQ2060812

Cong Lv, Deqin Qiu, Mengshan Ying

Publication date: 13 December 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107727

zbMATH Keywords

soliton solutionsDarboux transformationKulish-Sklyanin model

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for nonlinear higher-order PDEs (35G25) Soliton solutions (35C08)

Related Items (1)

Bifurcation and traveling wave solutions of stochastic Manakov model with multiplicative white noise in birefringent fibers

Cites Work

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• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• On the Bäcklund-gauge transformation and homoclinic orbits of a coupled nonlinear Schrödinger system
• Kulish-Sklyanin-type models: integrability and reductions
• Explicit Bäcklund transformations for multifield Schrödinger equations. Jordan generalizations of the Toda chain
• Nonlinear superposition principle for the Jordan NLS equation
• Bright and dark soliton solutions to coupled nonlinear Schrodinger equations
• Theoretical and experimental evidence of non-symmetric doubly localized rogue waves
• The Propagation of Nonlinear Wave Envelopes
• Symmetry and perturbation of the vector nonlinear Schrödinger equation

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