A new method for solving partial differential equations
LI Wei
Abstract：It is very important to find the exact solution of nonlinear partial differential equations.A great deal of work has been done to obtain its exact solutions.In this paper, we obtain new exact solutions of Burgers e－quation and Boussinesq equations.The specific method is as follows : first, the traveling wave transformation of the equation is carried out to obtain the new equation , and then given its quasi solution , the quasi solution is substituted into the new equation , and a set of equations is obtained , with the help of the computer algebra sys－tem Mathematica, this set of equations is solved to determine the quasi －solution, that is, the new exact solu－tion.This method was used to obtain the exact solutions of Burgers equation and Boussinesq equations , including the results of some literature as well as the conclusions of some literature.This method can be used to find exact solutions of a series of partial differential equations.
Keywords：travelling－wave transformexact solutionsquasi solution
Publication Date：2019-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：3( 250-252 )