Interaction properties between rogue wave and breathers to the Manakov system arising from stationary self-focusing electromagnetic systems

DOI10.1016/j.chaos.2022.111832zbMath1506.35189OpenAlexW4210479908MaRDI QIDQ2677056

Yu-Lan Ma, Bang-Qing Li

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.2022.111832

zbMATH Keywords

Darboux transformationrogue wavebreatherhybrid solutionManakov systeminteraction property

Mathematics Subject Classification ID

Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) 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) Soliton solutions (35C08)

Related Items (7)

Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity ⋮ Mixed higher-order rogue waves and solitons for the coupled modified nonlinear Schrödinger equation ⋮ Hybrid structures of localized waves for the coupled extended mKdV equation ⋮ Interaction behaviors between solitons, breathers and their hybrid forms for a short pulse equation ⋮ Shallow ocean soliton and localized waves in extended \((2 + 1)\)-dimensional nonlinear evolution equations ⋮ Modulated wave patterns brought by higher-order dispersion and cubic-quintic nonlinearity in monoatomic chains with anharmonic potential ⋮ Kraenkel-Manna-Merle saturated ferromagnetic system: Darboux transformation and loop-like soliton excitations

Cites Work

• Generation and control of multiple solitons under the influence of parameters
• The Darboux transformation of some Manakov systems
• Bifurcation solitons and breathers for the nonlocal Boussinesq equations
• Dynamics of solitons with periodic loops intrinsic localized modes and modulational instability in a quantum 2D nonlinear square Klein-Gordon chain
• The wrinkle-like N-solitons for the thermophoretic motion equation through graphene sheets
• Clout of fractional time order and magnetic coupling coefficients on the soliton and modulation instability gain in the Heisenberg ferromagnetic spin chain
• Interactions between soliton and rogue wave for a (2+1)-dimensional generalized breaking soliton system: hidden rogue wave and hidden soliton
• Lax pair, Darboux transformation and \(N\)th-order rogue wave solutions for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation
• Energy-sharing collisions and the dynamics of degenerate solitons in the nonlocal Manakov system
• Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrödinger equation
• A new (3+1)-dimensional Kadomtsev-Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves
• Dynamics of Rogue Waves on a Multisoliton Background in a Vector Nonlinear Schrödinger Equation
• \(N\)-order rogue waves and their novel colliding dynamics for a transient stimulated Raman scattering system arising from nonlinear optics

This page was built for publication: Interaction properties between rogue wave and breathers to the Manakov system arising from stationary self-focusing electromagnetic systems