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In the paper, a Lax pair is presented for a generalized variable-coefficients nonliear Schrödinger equation in inhomogeneous optical fiber media with the loss/gain and the frequency chirping. Two types of soliton solutions are constructed by solving its linear non-isospectrum problem. With computer simulation, the main features of bright and dark solitons are shown by some figures. These results will...
In this paper, non-travelling wave solutions with three arbitrary functions, including the soliton-like solutions periodic form solutions and rational solutions, are obtained by using a improved extended tanh-function method to solve a compound KdV-Burgers equation with the help of Maple. This method can be applied to other higher-dimensional nonlinear partial differential equations.
To obtain new exact solutions for Korteweg-de Vries Burgers equation and Korteweg-de Vries equation, with the aid of symbolic computation, the Korteweg-de Vries Burgers equation and Korteweg-de Vries equation are investigated by using the trigonometric function transform method. More exact traveling wave solutions are obtained, and new exact traveling wave solutions are obtained for Korteweg-de Vries...
In this paper, with the aid of Matlab software, more exact solutions are obtained for coupled nonlinear schrödinger equations, by using a direct and efficient trigonometric function transform method. Finally, it is easy to derive the corresponding exact solutions of the uncoupled NLS equations in fiber optics.
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