Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media

DOI10.1016/J.CNSNS.2021.106005zbMath1477.35246OpenAlexW3193671073WikidataQ112880706 ScholiaQ112880706MaRDI QIDQ2246999

Shuang Shen, Zhen-Jun Yang, Xing-Liang Li, Shu-Min Zhang

Publication date: 16 November 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106005

zbMATH Keywords

nonlinear Schrödinger equationhigh-order solitonsperiodic propagation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Waves and radiation in optics and electromagnetic theory (78A40) Soliton solutions (35C08)

Related Items (2)

Periodic collision theory of multiple cosine-Hermite-Gaussian solitons in Schrödinger equation with nonlocal nonlinearity ⋮ Noise-induced, ac-stabilized sine-Gordon breathers: emergence and statistics

Cites Work

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• Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations
• Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation
• Rational and semi‐rational solutions of a nonlocal (2 + 1)‐dimensional nonlinear Schrödinger equation

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