一种广义(3+1)维非线性发展方程的Lax可积性与精确解OA

Based on the Bell polynomial method and the trial function method,we investigate the Lax integrability and exact solutions of a generalized(3+1)-dimensional nonlinear evolution equation.First,by employing the Bell polynomial method,we derive the bilinear form,bilinear Bäcklund transfor-mation,Lax pair,and infinite conservation laws of the equation.Second,based on the bilinear Bäcklund transformation,we establish the corresponding nonlinear superposition formula for the solutions.Fur-thermore,using the trial function method,we obtain a double solition solution by solving the nonlinear superposition formula.Finally,with the aid of the Mathematica symbolic computation system,we analyze the properties of the composite solutions by selecting appropriate parameters.