广义 Ｓｃｈｒöｄｉｎｇｅｒ 扰动耦合系统孤子解.

A class of generalized nonlinear Schrödinger disturbed coupled systems were studied. Firstly, with a special projection method of undetermined coefficients the solitary exact travelling wave solutions to the corresponding non-disturbed coupled systems were found, which were selected as the initial approximation of the disturbed coupled systems. Next, by means of the homotopy analysis method, a set of homotopy mappings were constructed. Thus, each order of the approximate solutions to the original nonlinear Schrödinger disturbed coupled system was obtained successively with the homotopy analysis method. Finally, through the examples and the perturbation theory, it is shown that the acquired approximate solutions to the generalized nonlinear Schrödinger disturbed coupled systems are simple and valid. [ABSTRACT FROM AUTHOR]