EXACT SOLUTIONS OF THE HIROTA EQUATION USING THE SINE-COSINE METHOD

DOI10.14529/MMPH210306zbMath1473.35514OpenAlexW4288076914MaRDI QIDQ5153912

G. N. Shaikhova, Y. S. Kalykbay

Publication date: 1 October 2021

Published in: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyurm490

zbMATH Keywords

solutionnonlinearitypartial differential equationHirota equationsine-cosine methodordinary differentialequation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Cauchy problem for the nonlinear Hirota equation in the class of periodic infinite-zone functions

Cites Work

• The sine-cosine method for obtaining solutions with compact and noncompact structures
• Partial differential equations and solitary waves theory
• A sine-cosine method for handling nonlinear wave equations
• Solitons and periodic solutions of coupled nonlinear evolution equations by using the sine–cosine method
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Exact envelope-soliton solutions of a nonlinear wave equation
• The behavior of steady quasisolitons near the limit cases of third-order nonlinear Schrödinger equation

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