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Volume 30, Issue 1
Generalized Extended Tanh-Function Method for Traveling Wave Solutions of Nonlinear Physical Equations

Jing Chang, Yixian Gao & Hua Cai

Commun. Math. Res., 30 (2014), pp. 60-70.

Published online: 2021-05

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  • Abstract

In this paper, the generalized extended tanh-function method is used for constructing the traveling wave solutions of nonlinear evolution equations. We choose Fisher's equation, the nonlinear schrödinger equation to illustrate the validity and advantages of the method. Many new and more general traveling wave solutions are obtained. Furthermore, this method can also be applied to other nonlinear equations in physics.

  • Keywords

generalized tanh-function method, nonlinear Schrödinger equation, Fisher's equation.

  • AMS Subject Headings

34N05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-30-60, author = {Chang , JingGao , Yixian and Cai , Hua}, title = {Generalized Extended Tanh-Function Method for Traveling Wave Solutions of Nonlinear Physical Equations}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {30}, number = {1}, pages = {60--70}, abstract = {

In this paper, the generalized extended tanh-function method is used for constructing the traveling wave solutions of nonlinear evolution equations. We choose Fisher's equation, the nonlinear schrödinger equation to illustrate the validity and advantages of the method. Many new and more general traveling wave solutions are obtained. Furthermore, this method can also be applied to other nonlinear equations in physics.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/18988.html} }
TY - JOUR T1 - Generalized Extended Tanh-Function Method for Traveling Wave Solutions of Nonlinear Physical Equations AU - Chang , Jing AU - Gao , Yixian AU - Cai , Hua JO - Communications in Mathematical Research VL - 1 SP - 60 EP - 70 PY - 2021 DA - 2021/05 SN - 30 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/18988.html KW - generalized tanh-function method, nonlinear Schrödinger equation, Fisher's equation. AB -

In this paper, the generalized extended tanh-function method is used for constructing the traveling wave solutions of nonlinear evolution equations. We choose Fisher's equation, the nonlinear schrödinger equation to illustrate the validity and advantages of the method. Many new and more general traveling wave solutions are obtained. Furthermore, this method can also be applied to other nonlinear equations in physics.

Chang , JingGao , Yixian and Cai , Hua. (2021). Generalized Extended Tanh-Function Method for Traveling Wave Solutions of Nonlinear Physical Equations. Communications in Mathematical Research . 30 (1). 60-70. doi:
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