Breather and rogue wave solutions for the \((2+1)\)-dimensional nonlinear Schrödinger-Maxwell-Bloch equation

DOI10.1016/j.aml.2019.02.001zbMath1417.35181OpenAlexW2914036203MaRDI QIDQ1739458

Rui Guo, Rong-Rong Jia

Publication date: 26 April 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.02.001

zbMATH Keywords

rogue wave solutionsgeneralized Darboux transformationbreather solutions\((2+1)\)-dimensional Schrödinger-Maxwell-Bloch equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

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Cites Work

• Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
• Variable sinh-Gaussian solitons in nonlocal nonlinear Schrödinger equation
• Dynamics of the breather waves, rogue waves and solitary waves in an extend Kadomtsev-Petviashvili equation
• Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation
• Integrable \((2 + 1)\)-dimensional spin models with self-consistent potentials
• The Darboux Transformation for NLS-MB Equations

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