Exact periodic wave, bisoliton, and various breather solutions for the Zakharov equations

DOI10.1155/2015/310945zbMath1394.35485OpenAlexW2196304103WikidataQ59117962 ScholiaQ59117962MaRDI QIDQ1665324

Longwei Chen, Hongjiang Liu, Shuhua Zheng, Heng Wang

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/310945

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Cites Work

• The breather-like and rational solutions for the integrable Kadomtsev-Petviashvili-based system
• Breathers and soliton solutions for a generalization of the nonlinear Schrödinger equation
• Waves that appear from nowhere and disappear without a trace
• Extreme waves that appear from nowhere: on the nature of rogue waves
• The extended hyperbolic functions method and new exact solutions to the Zakharov equations
• Rogue waves in oceanic turbulence
• The first-integral method and abundant explicit exact solutions to the Zakharov equations
• Comment on “Solitons, Bäcklund transformation, and Lax pair for the (2 + 1)-dimensional Boiti-Leon- Pempinelli equation for the water waves” [J. Math. Phys. 51, 093519 (2010)]
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