Analytical studies of the steady solution for optical soliton equation with higher-order dispersion and nonlinear effects

作者：Lin Chang^*; Hong Xue Ren; Dou Fu Quan

来源：Communications in Nonlinear Science & Numerical Simulation, 2008, 13(3): 567-574.

DOI：10.1016/j.cnsns.2006.04.006

• optical soliton equation
• solitary wave solution
• method of separating variables

The exact analytical solution of the optical soliton equation with higher-order dispersion and nonlinear effects has been obtained by the method of separating variables. The new type of optical solitary wave solution, which is quite different from the bright and dark soliton solutions, has been found under two special cases. The stability of the solitary wave solutions for the optical soliton equation is discussed. Some new conclusion of the stability are obtained, for the solitary wave solutions of the nonlinear wave equations, by using the Liapunov direct method.

• 出版日期2008-6
• 单位西北师范大学