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Volume 2, Issue 1
Travelling Wave Solutions to the Zhiber-Shabat and Related Equations Using Rational Hyperbolic Method

Amin Gholami Davodi & Davood Domiri Ganji

DOI: 10.4208/aamm.09-m0939

Adv. Appl. Math. Mech., 2 (2010), pp. 118-130.

Published online: 2010-02

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  • Abstract

This paper presents the application of a new method for obtaining new exact solutions of some well-known nonlinear partial differential equations. The Rational Hyperbolic method is used for handling the Zhiber-Shabat equation and the related equations such as Liouville, Sinh-Gordon, Dodd-Bullough-Mikhailov and Tzitzeica-Dodd-Bullough equations. We show power of the Rational Hyperbolic method that is simple and effective for solving nonlinear partial differential equations.

  • Keywords

The rational hyperbolic method, Zhiber-Shabat, Liouville, Sinh-Gordon, Dodd-Bullough-Mikhailov and Tzitzeica-Dodd-Bullough equations.

  • AMS Subject Headings

35C07, 35G50

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{AAMM-2-118, author = {Davodi , Amin Gholami and Ganji , Davood Domiri}, title = {Travelling Wave Solutions to the Zhiber-Shabat and Related Equations Using Rational Hyperbolic Method}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {1}, pages = {118--130}, abstract = {

This paper presents the application of a new method for obtaining new exact solutions of some well-known nonlinear partial differential equations. The Rational Hyperbolic method is used for handling the Zhiber-Shabat equation and the related equations such as Liouville, Sinh-Gordon, Dodd-Bullough-Mikhailov and Tzitzeica-Dodd-Bullough equations. We show power of the Rational Hyperbolic method that is simple and effective for solving nonlinear partial differential equations.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m0939}, url = {http://global-sci.org/intro/article_detail/aamm/205.html} }
TY - JOUR T1 - Travelling Wave Solutions to the Zhiber-Shabat and Related Equations Using Rational Hyperbolic Method AU - Davodi , Amin Gholami AU - Ganji , Davood Domiri JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 118 EP - 130 PY - 2010 DA - 2010/02 SN - 2 DO - http://doi.org/10.4208/aamm.09-m0939 UR - https://global-sci.org/intro/article_detail/aamm/205.html KW - The rational hyperbolic method, Zhiber-Shabat, Liouville, Sinh-Gordon, Dodd-Bullough-Mikhailov and Tzitzeica-Dodd-Bullough equations. AB -

This paper presents the application of a new method for obtaining new exact solutions of some well-known nonlinear partial differential equations. The Rational Hyperbolic method is used for handling the Zhiber-Shabat equation and the related equations such as Liouville, Sinh-Gordon, Dodd-Bullough-Mikhailov and Tzitzeica-Dodd-Bullough equations. We show power of the Rational Hyperbolic method that is simple and effective for solving nonlinear partial differential equations.

Davodi , Amin Gholami and Ganji , Davood Domiri. (2010). Travelling Wave Solutions to the Zhiber-Shabat and Related Equations Using Rational Hyperbolic Method. Advances in Applied Mathematics and Mechanics. 2 (1). 118-130. doi:10.4208/aamm.09-m0939
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