Universal Journal of Mathematics and Mathematical Sciences
Volume 1, Issue 2, Pages 189 - 196
(April 2012)
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COMBINED Exp-FUNCTION ANSATZ METHOD AND APPLICATIONS
Gui Mu, Jun Liu and Zhengde Dai
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Abstract:
In this paper, we propose a combined Exp-function ansatz method, which is a direct method based on Hirota bilinear form to obtain novel exact solutions of nonlinear partial differential equation. Taking the Calogero equation as an example, many new type analytical solutions are obtained and these solutions exhibit interesting dynamic diversity graphically. |
| Keywords and phrases: combined Exp-function ansatz method, the Calogero equation; Hirota’s bilinear method. |
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