One and two soliton solutions for the sinh-Gordon equation in (1+1), (2+1) and (3+1) dimensions

DOI10.1016/J.AML.2012.07.001zbMath1251.35114OpenAlexW2082506457MaRDI QIDQ714597

Abdul-Majid Wazwaz

Publication date: 11 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2012.07.001

zbMATH Keywords

solitonshigher dimensional sinh-Gordon equation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (8)

Solitary wave and shock wave solitons to the transmission line model for nano-ionic currents along microtubules ⋮ The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods ⋮ A new numerical treatment based on Lucas polynomials for 1D and 2D sinh-Gordon equation ⋮ New integrable (2+1)- and (3+1)-dimensional sinh-Gordon equations with constant and time-dependent coefficients ⋮ Dynamics of the breathers, rogue waves and solitary waves in the \((2+1)\)-dimensional Ito equation ⋮ Analysis and application of the element-free Galerkin method for nonlinear sine-Gordon and generalized sinh-Gordon equations ⋮ An efficient localized meshless technique for approximating nonlinear sinh-Gordon equation arising in surface theory ⋮ Meshless numerical analysis of a class of nonlinear generalized Klein-Gordon equations with a well-posed moving least squares approximation

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