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CLC number: O175.29; O241.7

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

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Journal of Zhejiang University SCIENCE A 2007 Vol.8 No.4 P.660-664

http://doi.org/10.1631/jzus.2007.A0660


Construction of solitonary and periodic solutions to some nonlinear equations using EXP-function method


Author(s):  ZHANG Mei, ZHANG Wen-jing

Affiliation(s):  Department of Applied Physics, College of Science, Donghua University, Shanghai 201620, China

Corresponding email(s):   zhmm@mail.dhu.edu.cn

Key Words:  Soliton, Periodic solution, Nonlinear equation, EXP-function method



Abstract: 
This paper applies the EXP-function method to find exact solutions of various nonlinear equations. Tzitzeica-Dodd-Bullough (TDB) equation was selected to illustrate the effectiveness and convenience of the suggested method. More generalized solitonary solutions with free parameters were obtained by suitable choice of the free parameters, and also the obtained solitonary solutions can be converted into periodic solutions.

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