Shi Xiu-zhen
Abstract
By introducing new trial functions,the Burgers equation with variable coefficients and the KdV-Burgers equation are reduced into the simple solvable ordinary differential equations.New exact solutions of them are obtained by solving the ordinary differential equations.
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By introducing new trial functions,the Burgers equation with variable coefficients and the KdV-Burgers equation are reduced into the simple solvable ordinary differential equations.New exact solutions of them are obtained by solving the ordinary differential equations.
Key concepts: Burgers' equation, Korteweg–de Vries equation, Mathematics, Exact differential equation, Ordinary differential equation, Riccati equation, Variable (mathematics), Mathematical analysis