Elastic and inelastic collisions of the semirational solutions for the coupled Hirota equations in a birefringent fiber

DOI10.1016/j.aml.2020.106291zbMath1437.35642OpenAlexW3007598887MaRDI QIDQ1985383

Xi-Yang Xie, Xiao-Bing Liu

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106291

zbMATH Keywords

birefringent fibercoupled Hirota equationssemirational solutions

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (12)

Localized waves for the coupled mixed derivative nonlinear Schrödinger equation in a birefringent optical fiber ⋮ Quasi-periodic waves and irregular solitary waves of the AB system ⋮ Some nonlinear fractional PDEs involving \(\beta \)-derivative by using rational \(\exp\left( - \operatorname{\Omega} \left( \eta\right)\right)\)-expansion method ⋮ Binary Darboux transformation and multi-dark solitons for a higher-order nonlinear Schrödinger equation in the inhomogeneous optical fiber ⋮ Ultra-short optical pulses in a birefringent fiber via a generalized coupled Hirota system with the singular manifold and symbolic computation ⋮ Bright-dark soliton, breather and semirational rogue wave solutions for a coupled AB system ⋮ Deformed breather and rogue waves for the inhomogeneous fourth-order nonlinear Schrödinger equation in alpha-helical proteins ⋮ \(N\)th-order rogue waves for the \(AB\) system via the determinants ⋮ Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation ⋮ High-order semi-rational solutions for the coherently coupled nonlinear Schrödinger equations with the positive coherent coupling ⋮ Analytical solutions for the coupled Hirota equations in the firebringent fiber ⋮ Beak-shaped rogue waves for a higher-order coupled nonlinear Schrödinger system with \(4 \times 4\) Lax pair

Cites Work

• Rational solutions for the nonlocal sixth-order nonlinear Schrödinger equation
• Generalized Darboux transformation and localized waves in coupled Hirota equations
• Multi-rogue waves and rational solutions of the coupled nonlinear Schrödinger equations
• Some semirational solutions and their interactions on the zero-intensity background for the coupled nonlinear Schrödinger equations
• Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation
• Stable transmission of solitons in the complex cubic-quintic Ginzburg-Landau equation with nonlinear gain and higher-order effects
• Evolution of initial discontinuity for the defocusing complex modified KdV equation
• Oceanic Rogue Waves
• Dark soliton solutions of the coupled Hirota equation in nonlinear fiber

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