Browsing by Subject "Lie symmetry method"
Now showing items 1-4 of 4
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Conservation laws and solutions of a generalized coupled (2+1)-dimensional Burgers system
(Elsevier, 2017)In this paper we study a generalized coupled (2+1)-dimensional Burgers system, which is a nonlinear version of a bilinear system under some dependent variable transformations. It was introduced recently in the literature ... -
On the solutions and conservation laws of the coupled Drinfeld-Sokolov-Satsuma-Hirota system
(Springer, 2014)In this paper we study the coupled Drinfeld-Sokolov-Satsuma-Hirota system, which was developed as one example of nonlinear equations possessing Lax pairs of a special form. Also this system was found as a special case of ... -
Symbolic computation on exact solutions of a coupled Kadomtsev-Petviashvili equation: Lie symmetry analysis and extended tanh method
(Elsevier, 2017)A coupled Kadomtsev-Petviashvili equation is investigated by using Lie symmetry analysis. The similarity reductions and new exact solutions are obtained via the extended tanh method with symbolic computation. Exact solutions ... -
Travelling wave solutions of a two-dimensional generalized Sawada-Kotera equation
(Springer, 2016)Lie symmetry analysis is performed on a two-dimensional generalized Sawada-Kotera equation, which arises in various problems in mathematical physics. Exact solutions are obtained using the Lie point symmetries method and ...