Extension of the Trial Function Method Based on Cole-Hopf Trans formation and New Explicit Exact Solutions for Burgers Equation
Yu Liu
Abstract
Yu Liu
Abstract
In this paper,the trial function method based on Cole-Hopf transformation is extended and by using the extended method the new explicit exact solutions for Burgers equation,which include traveling wave solution,solitary wave solutions rational function solution and triangle function solutions are obtained.
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In this paper,the trial function method based on Cole-Hopf transformation is extended and by using the extended method the new explicit exact solutions for Burgers equation,which include traveling wave solution,solitary wave solutions rational function solution and triangle function solutions are obtained.
Key concepts: Transformation (genetics), Mathematics, Burgers' equation, Traveling wave, Extension (predicate logic), Function (biology), Exact solutions in general relativity, Rational function