Variable Separation Solution for (1+1)-Dimensional Nonlinear Models Related to Schrödinger Equation
Xu Chang-Zhi, Zhang Jie-Fang · Communications in Theoretical Physics · 2004
A variable separation approach is proposed and successfully extended to the (1+1)-dimensional physics models. The new exact solution of (1+1)-dimensional nonlinear models related to Schrödinger equation by the entrance of three arbitrary functions is obtained. Some special types of soliton wave solutions such as multi-soliton wave solution, non-stable soliton solution, oscillating soliton solution, and periodic soliton solutions are discussed by selecting the arbitrary functions appropriately.