Sine-cosine Method Research Articles

EXPLICIT EXACT SOLUTIONS FOR NONLINEAR APPROXIMATE EQUATIONS WITH LONG WAVES IN SHALLOW WATER

In this paper,the nonlinear approximate equations for long wave in shallow water are studied via using two different methods.Firstly,with the aid of Mathematica and Wu-elimination method,by using sine-cosine method,three families of soliton solutions are obtained.Secondly,based on the known references,through using a new transformation,several rational formal solutions are found again.The two methods can be also applied to other nonlinear equations.

U. P. to build first steam turbine electric locomotive : Railway Age, Vol. 101, No. 5

By means of the idea of sine–cosine method and He's semi-inverse method, some analytic solutions for the Biswas–Milovic equation are presented. The sine–cosine method and He's semi-inverse method are used to construct exact solitary solutions of this equation. Biswas–Milovic equation is a generalized version of the familiar nonlinear Schrodinger's equation describing the propagation of solitons through optical fibers for trans-continental and transoceanic distances. New families of exact travelling wave solutions of the Biswas–Milovic equation are successfully obtained.