Symmetry group and non-propagating solitons in the \((2 + 1)\)-dimensional sine-Gordon equation
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Publication:990644
DOI10.1016/j.amc.2007.04.012zbMath1193.35194OpenAlexW2035729538MaRDI QIDQ990644
Publication date: 1 September 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.012
KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Cites Work
- Similarity methods for differential equations
- New solutions of two-dimensional integrable sine-Gordon equation generated by nontrivial singular boundaries
- The sine-Gordon equation in the finite line
- The construction of special solutions to partial differential equations
- A class of doubly periodic waves for nonlinear evolution equations
- Exact solutions and conservation laws for a nonisospectral sine-Gordon equation
- Symmetry analysis and exact solutions of the 2+1 dimensional sine-Gordon system
- The 2+1 dimensional integrable generalization of the sine-Gordon equation. II. Localized solutions
- New similarity reductions of the Boussinesq equation
- Darboux transformations for a two-dimensional Zakharov-Shabat/AKNS spectral problem
- The (2 + 1)-dimensional sine - Gordon equation; integrability and localized solutions
- Localized excitations of the (2 1)-dimensional sine-Gordon system
- An integrable shallow water equation with peaked solitons
- Compactons: Solitons with finite wavelength
- On generalized Loewner systems: Novel integrable equations in 2+1 dimensions
- Semifolded Localized Coherent Structures in General (2+1)-dimensional Korteweg de Vries System*
- Extended multilinear variable separation approach and multivalued localized excitations for some (2+1)-dimensional integrable systems
- Symmetries and exact solutions of a (2+1)-dimensional sine-Gordon system
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