Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Jian Yang and Shengqiang Tang
Pages: [25] - [36]
Received Date: December 25, 2014
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121434
The Schamel-Korteweg-de Vries (Schamel-KdV) equation containing a square root nonlinearity is a very attractive model for the study of ion-acoustic waves in plasma and dusty plasma. In this work, we obtain the soliton-like solutions, the kink solutions, and the plural solutions of the Schamel-KdV equation by using the sine-cosine method and the extended tanh method. These solutions may be of important significance for the explanation of some practical physical problems. It is shown that these two methods provide a powerful mathematical tool for solving a great many nonlinear partial differential equations in mathematical physics.
the Schamel-Korteweg-de Vries (Schamel-KdV) equation, the sine-cosine method, the extended tanh method, the soliton-like solution, the kink solution, the plural solutions.
