The application of the auxiliary equation technique to a generalized mKdV equation with variable coefficients
β Scribed by Yi Zhang; Shaoyong Lai; Jun Yin; Yonghong Wu
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 575 KB
- Volume
- 223
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
The auxiliary differential equation technique is employed to investigate a generalized mKdV equation with variable coefficients. The Jacobi elliptic function wave-like solutions of the equation are expressed under several circumstances. The degenerated solitonlike and trigonometric function solutions are discussed in detail as the modulus of the Jacobi elliptic wave-like solutions tends to 1 and 0, respectively.
π SIMILAR VOLUMES
A closed form solution of a second order linear homogeneous difference equation with variable coefficients is presented. As an application of this solution, Ε½ . we obtain expressions for cos n and sin n q 1 rsin as polynomials in cos .
## Abstract In this paper, a variational iteration method (VIM) has been applied to nonlinear nonβFourier conduction heat transfer equation with variable specific heat coefficient. The concept of the variational iteration method is introduced briefly for applying this method for problem solving. Th