Non-linear dynamics of a conservative system degenerating into a system with a singular set
β Scribed by R.F. Nagayev; V.N. Pilipchuk
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 372 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0021-8928
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π SIMILAR VOLUMES
## Abstract We investigate the asymptotic profile to the Cauchy problem for a nonβlinear dissipative evolution system with conservational form provided that the initial data are small, where constants Ξ±, Ξ½ are positive satisfying Ξ½^2^<4Ξ±(1 β Ξ±), Ξ±<1. In (__J. Phys. A__ 2005; **38**:10955β10969),
The extension of Abel's Identity presented in the companion paper is used to construct the general solutions to some non-linear, autonomous systems. It is shown that only one first integral is required for the construction, and that one first integral naturally leads to a second independent integral