New quasi-periodic waves of the \((2+1)\)-dimensional sine-Gordon system

DOI10.1016/j.physleta.2005.05.004zbMath1171.35461OpenAlexW2008801130MaRDI QIDQ927027

Elsie Sterbin Gottlieb

Publication date: 21 May 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.05.004

zbMATH Keywords

Jacobi elliptic functionsmapping relationsquasi-periodic waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (7)

New analytical positon, negaton and complexiton solutions of a coupled KdV-mKdV system ⋮ New positon, negaton and complexiton solutions for the Hirota-Satsuma coupled KdV system ⋮ New positon, negaton and complexiton solutions for the Bogoyavlensky-Konoplechenko equation ⋮ Quasi-periodic and non-periodic waves in the (2 + 1)-dimensional generalized Broer-Kaup system ⋮ Nonsingular positon and complexiton solutions for the coupled KdV system ⋮ New deformation relations and exact solutions of the high-dimensional \(\Phi ^{6}\) field model ⋮ A sixth-order compact finite difference method for the one-dimensional sine-Gordon equation

Cites Work

• On the numerical solution of the sine-Gordon equation. II: Performance of numerical schemes
• Variable separation solutions obtained from Darboux transformations for the asymmetric Nizhnik-Novikov-Veselov system
• Darboux transformation, positons and general superposition formula for the sine-Gordon equation
• A class of doubly periodic waves for nonlinear evolution equations
• Revisitation of the localized excitations of the (2+1)-dimensional KdV equation
• The relations among a special type of solutions in some (D+1)-dimensional nonlinear equations
• A higher dimension generalization of the Sine-Gordon equation and its Bäcklund transformation
• Dromion-like structures in a (3+1)-dimensional KdV-type equation
• Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method
• On generalized Loewner systems: Novel integrable equations in 2+1 dimensions
• Unnamed Item

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