Darboux transformation of the general Hirota equation: multisoliton solutions, breather solutions, and rogue wave solutions

DOI10.1186/s13662-016-0780-zzbMath1419.35182OpenAlexW2289063250WikidataQ59468096 ScholiaQ59468096MaRDI QIDQ1796723

Fei Chen, Xiao-Yong Wen, Deng-Shan Wang

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0780-z

zbMATH Keywords

optical fibersDarboux transformationmultisoliton solutionsrogue wave solutionsbreather solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Applications to the sciences (65Z05) Soliton solutions (35C08)

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Cites Work

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• Numerical homoclinic instabilities and the complex modified Korteweg-de Vries equation
• Nonlinear optical waves
• Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique
• Wronskian and Grammian determinant structure solutions for a variable-coefficient forced Kadomtsev-Petviashvili equation in fluid dynamics
• Breathers and multi-soliton solutions for the higher-order generalized nonlinear Schrödinger equation
• Moving breathers and breather-to-soliton conversions for the Hirota equation

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