Nonlinear variants of KdV and KP equations with compactons, solitons and periodic solutions
β Scribed by Abdul-Majid Wazwaz
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 304 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1007-5704
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β¦ Synopsis
In this paper we study the nonlinear dispersion of new variants of the KdV and the KP equations with positive and negative exponents. The approach stems mainly from the sine-cosine method. The study reveals compactons, solitons, solitary patterns and periodic solutions for these models.
π SIMILAR VOLUMES
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
A generalized KdV equation with time-dependent coefficients will be studied. The BBM equation with time-dependent coefficients and linear damping term will also be examined. The wave soliton ansatz will be used to obtain soliton solutions for both equations. The conditions of existence of solitons a