Now showing items 1-5 of 5
Exact and explicit solutions to nonlinear evolution equations using the division theorem
In this paper, we show the applicability of the first integral method, which is based on the ring theory of commutative algebra, to the regularized long-wave Burgers equation and the Gilson-Pickering equation under a ...
Travelling wave solutions to nonlinear physical models by means of the first integral method
(Indian Academy of Sciences, 2011-04)
This paper presents the first integral method to carry out the integration of nonlinear partial differential equations in terms of travelling wave solutions. For illustration, three important equations of mathematical ...
Some exact and explicit solutions for nonlinear schrödinger equations
(Polish Academy of Sciences Publishing House, 2013-01)
Nonlinear models occur in many areas of applied physical sciences. This paper presents the first integral method to carry out the integration of Schrödinger-type equations in terms of traveling wave solutions. Through the ...
Exact and explicit solutions to some nonlinear evolution equations by utilizing the (G′/G)-expansion method
In this paper, we demonstrate the effectiveness of the so-called (G′/G)-expansion method by examining some nonlinear evolution equations with physical interest. Our work is motivated by the fact that the (G′/G)-expansion ...
Analytic study on two nonlinear evolution equations by using the (G′/G)-expansion method
The validity and reliability of the so-called (G′/G)-expansion method is tested by applying it to two nonlinear evolutionary equations. Solutions in more general forms are obtained. When the parameters are taken as special ...