Now showing items 1-3 of 3
On a 2+1-dimensional Whitham-Broer-Kaup system: A resonant NLS connection
It is established that the Whitham-Broer-Kaup shallow water system and the "resonant" nonlinear Schrödinger equation are equivalent. A symmetric integrable 2+1-dimensional version of the Whitham-Broer-Kaup system is ...
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 ...