Soliton molecules in the kink, antikink and oscillatory background

DOI10.1016/J.CHAOS.2022.112132zbMath1505.35331OpenAlexW4280629891MaRDI QIDQ2113126

Weitian Yu, Hongxing Zhang, Wen-Jun Liu

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112132

zbMATH Keywords

nonlinear Schrödinger equationHirota methoddark solitonssoliton molecule

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Cites Work

• Solitons and breathers for a generalized nonlinear Schrödinger equation via the binary Bell polynomials
• Riemann-Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies
• Chirped self-similar solitary waves in optical fibers governed with self-frequency shift and varying parameters
• Dark-bright soliton interactions in coupled nonautonomous nonlinear Schrödinger equation with complex potentials
• Riemann-Hilbert problems and soliton solutions of nonlocal reverse-time NLS hierarchies
• Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Dark solitons in atomic Bose–Einstein condensates: from theory to experiments

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