In this paper, we present a new modification of Adomian decomposition method (ADM) for finding exact solutions of nonlinear integral equations. In [Appl. Math. Comput. 170 (2005) 570-583], the authorâ€¦ (More)

This paper aims to construct conservation laws for a Benjaminâ€“Bonaâ€“Mahony equation with variable coefficients, which is a third-order partial differential equation. This equation does not have aâ€¦ (More)

This paper is devoted to the numerical simulation for solving a special class of fractional differential equations. Based on the GrÃ¼nwaldâ€“Letnikov definition of a fractional derivative, a numericalâ€¦ (More)

1 Department of Mathematics, Eastern University, Chenkalady 30350, Sri Lanka 2 International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences,â€¦ (More)

In this paper Lie symmetry analysis is performed on the coupled KdV system which describes a resonant interaction of two wave modes in a shallow stratified liquid. The similarity reductions and exactâ€¦ (More)

The aim of this work is to perform a complete Lie symmetry classification of a generalized LaneEmden type system in two dimensions which models many physical phenomena in biological and physicalâ€¦ (More)

We study two coupled systems of nonlinear partial differential equations, namely, generalized Boussinesq-Burgers equations and 2 1 -dimensional Davey-Stewartson equations. The Lie symmetry method isâ€¦ (More)