Symmetry analysis and exact solutions of the 2+1 dimensional sine-Gordon system

From MaRDI portal
Publication:2738201

DOI10.1063/1.1286770zbMath0976.35067OpenAlexW2024065509MaRDI QIDQ2738201

Sen-yue Lou

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1286770




Related Items

On traveling waves in lattices: the case of Riccati latticesOn the coherent structures of the Nizhnik-Novikov-Veselov equation(2+1)-dimensional (M+N)-component AKNS system: Painlevé integrability, infinitely many symmetries, similarity reductions and exact solutionsA physics-constrained deep residual network for solving the sine-Gordon equationNonlocal Lie-Bäcklund symmetries of the coupled KdV systemReductions of a two-dimensional sine-Gordon system to the sixth Painlevé equationLie Point Symmetries and Exact Solutions of Couple KdV EquationsPainlevé analysis, infinite dimensional symmetry group and symmetry reductions for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equationOn modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equationOn the existence of solution, Lie symmetry analysis and conservation law of magnetohydrodynamic equationsAbundant soliton structures of \((2+1)\)-dimensional NLS equation.Some new exact solutions of (1\(+\)2)-dimensional sine-Gordon equationApplication of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg-de Vries equation and generalized Camassa-Holm equationExact solutions to Euler equation and Navier-Stokes equationFinite symmetry transformation groups and exact solutions of Lax integrable systemsHighly dispersive optical solitons in polarization-preserving fibers with Kerr law nonlinearity by Lie symmetryOn the class of nonlinear PDEs that can be treated by the modified method of simplest equation. Application to generalized Degasperis-Processi equation and \(b\)-equationHigh-dimensional Virasoro integrable models and exact solutionsModified method of simplest equation and its application to nonlinear PDEsBenjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysisModified method of simplest equation: powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEsApplication of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearityApplication of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamicsSymmetry group and non-propagating solitons in the \((2 + 1)\)-dimensional sine-Gordon equationSymmetries and exact solutions of the Sharma-Tass-Olver equationA nonlocal nonlinear Schrödinger equation derived from a two-layer fluid modelNew solutions of two-dimensional integrable sine-Gordon equation generated by nontrivial singular boundariesIntegrability of the modified generalised Vakhnenko equationPainlevé analysis and special solutions of generalized Broer-Kaup equationsSymmetry study of the coupled Burgers system



Cites Work