Rogue wave solutions for the \((2+1)\)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch system

DOI10.1016/J.AML.2020.106284zbMath1439.35427OpenAlexW3008106012MaRDI QIDQ1985378

Rui Guo, Rong-Rong Jia

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.2020.106284

zbMATH Keywords

rogue wave solutionsgeneralized Darboux transformation\((2+1)\)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) KdV equations (Korteweg-de Vries equations) (35Q53) 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 (3)

Modulational instability and location controllable lump solutions with mixed interaction phenomena for the \((2+1)\)-dimensional Myrzakulov-Lakshmanan-IV equation ⋮ Rogue waves, modulation instability of the \((2+1)\)-dimensional complex modified Korteweg-de Vries equation on the periodic background ⋮ Riemann-Hilbert problem and dynamics of soliton solutions of the fifth-order nonlinear Schrödinger equation

Cites Work

• Integrable \((2 + 1)\)-dimensional spin models with self-consistent potentials

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