Analysis of non-linear Klein-Gordon equations using Lie symmetry

DOI10.1016/j.aml.2010.07.006zbMath1197.35232OpenAlexW2052834045MaRDI QIDQ993778

Chaudry Masood Khalique, Anjan Biswas

Publication date: 20 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.aml.2010.07.006

zbMATH Keywords

integrabilityKlein-Gordon equationsLie symmetry

Mathematics Subject Classification ID

Related Items (9)

Graf of embedded subalgebras of 11-dimensional symmetry algebra for continuous medium ⋮ Painlevé analysis and invariant solutions of Vakhnenko-Parkes (VP) equation with power law nonlinearity ⋮ Auxiliary equation method for fractional differential equations with modified Riemann-Liouville derivative ⋮ Novel analysis of fuzzy fractional Klein-Gordon model via semianalytical method ⋮ Dynamic model of large amplitude non-linear oscillations arising in the structural engineering: analytical solutions ⋮ The \(\left(\frac{G^\prime}{G}\right)\)-expansion method for the nonlinear lattice equations ⋮ Numerical analysis of the Klein-Gordon equations by using the new iteration transform method ⋮ Exact solutions of Zabolotskaya–Khokhlov equation using optimal system ⋮ Numerical-solution-for-nonlinear-Klein-Gordon equation via operational-matrix by clique polynomial of complete graphs

Cites Work

• Unnamed Item
• Exact travelling wave solutions for four forms of nonlinear Klein-Gordon equations
• Topological and non-topological solitons of the Klein-Gordon equations in \(1+2\) dimensions
• Solution of non-linear Klein-Gordon equation with a quadratic non-linear term by Adomian decomposition method
• 1-soliton solution of the equation with generalized evolution
• An analytical approach to the Klein-Gordon and the Dirac relativistic oscillators in a non-commutative space under a constant magnetic field
• New travelling wave solutions to the Boussinesq and the Klein-Gordon equations
• Topological and non-topological solitons of the generalized Klein-Gordon equations
• Soliton perturbation theory for the quadratic nonlinear Klein-Gordon equation

This page was built for publication: Analysis of non-linear Klein-Gordon equations using Lie symmetry