Singular solitons and numerical analysis of \(\Phi\)-four equation

DOI10.1186/2251-7456-6-42zbMath1272.35066OpenAlexW2156663861WikidataQ59291740 ScholiaQ59291740MaRDI QIDQ2391763

Abhinandan Chowdhury, Anjan Biswas

Publication date: 5 August 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-6-42

zbMATH Keywords

relativistic quantum mechanicsansatz methodrational Chebyshev function

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Soliton solutions (35C08)

Related Items (2)

NEW SOLITARY WAVE SOLUTIONS OF THE FRACTIONAL MODIFIED KdV–KADOMTSEV–PETVIASHVILI EQUATION ⋮ An analysis of the Zhiber-Shabat equation including Lie point symmetries and conservation laws

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact travelling wave solutions for four forms of nonlinear Klein-Gordon equations
• Topological and non-topological solitons of nonlinear Klein-Gordon equations by He's semi-inverse variational principle
• 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
• Topological and non-topological solitons of the generalized Klein-Gordon equations
• Numerical solution of the Klein-Gordon equation via He's variational iteration method
• Solutions of compact and noncompact structures for nonlinear Klein-Gordon-type equation
• Soliton perturbation theory for the quadratic nonlinear Klein-Gordon equation
• Generalized forms of the phi-four equation with compactons, solitons and periodic solutions
• The tanh and the sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation
• The orthogonal rational functions of Higgins and Christov and algebraically mapped Chebyshev polynomials
• A Complete Orthonormal System of Functions in $L^2 ( - \infty ,\infty )$ Space

This page was built for publication: Singular solitons and numerical analysis of \(\Phi\)-four equation