Applying the improved generalized method, which is a direct and unified algebraic method for constructing multiple travelling wave solutions of nonlinear partial differential equations and implemented in a computer algebraic system, we consider the KdV-type equations and KdV-Burgers-type equations w
Generalized finite spectral method for 1D Burgers and KdV equations
✍ Scribed by Jie-min Zhan; Yok-sheung Li
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 227 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0253-4827
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In this paper, we first introduced improved projective Riccati method by means of two simplified Riccati equations. Applying the improved method, we consider the general types of KdV and KdV-Burgers equations with nonlinear terms of any order. As a result, many explicit exact solutions, which contai
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