2014•Journal of Eastern Liaoning UniversityRequires access

A New Exact Solution for Burgers Equation with Extended Riccati Function Space

Yun Ma

Abstract

A series of new- form exact travelling wave solution for Burgers equation,including solutions with trigonometric function and solutions with hyperbolic functions,were found with extended Riccati function are given. Besides,by simulating with Matlab,the visual representation of these exact solutions is obtained by the numerical simulation.

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Key concepts: Riccati equation, Hyperbolic function, Burgers' equation, Mathematics, Function (biology), Algebraic Riccati equation, Trigonometric functions, Mathematical analysis