In this paper, a closed form optical soliton solution is obtained for the nonlinear Schrödinger’s equation with fourth order dispersion in a Kerr law media. The solitary wave ansatze is used to carry out the integration of this equation. Finally, a numerical simulation is given for the closed form soliton solution. Mathematics Subject Classification: 35Q51, 35Q53, 37K10, 78A60 PACS Codes: 02.30...

The adiabatic parameter dynamics of solitons due to Gardner’s equation is obtained, in presence of the perturbation terms, by the aid of soliton perturbation theory. In addition, the integrals of motion are evaluated as well as the variation of the velocity is obtained due to these perturbation terms. Mathematics Subject Classification: 35Q51, 35Q53, 37K10 PACS Codes: 02.30.Jr, 02.30.Ik 788 A. ...

Biswas et al. (1993. A model for chlorine concentration decay in pipes. Water Res. 27(12), 1715-1724) presented an analytical solution of a two-dimensional (2-D) steady-state chlorine transport equation in a pipe under the turbulent condition and employed fractional error function and regression technique to develop an approximate solution. However, their approximate solution may not give a goo...

In this article, we give the extended trial equation method for solving nonlinear partial differential equations with higher order nonlinearity. By use of this method, the exact travel-ing wave solutions including soliton solution, singular soliton solutions, rational function solution and elliptic integral function solution to one-dimensional general improved KdV (GIKdV) equation and Rðm; nÞ e...

In this paper, the First Integral Method and Sine-Cosine are being used in constructing optical 1-soliton solutions of Triki-Biswas Equation that plays a vital role study soliton dynamics sub-pico-second pulses mono-mode fibers with non-Kerr law nonlinearity subsequently some non-soliton formally obtained. Â