On Bäcklund Transformations for Nonlinear Partial Differential Equations
✍ Scribed by H.Y. Wu
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 770 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
The sequential estimation of the states of a process described by a set of nonlinear hyperbolic or parabolic partial differential equations subject to both stochastic input disturbances and measurement errors is considered. A functional partial differential equation of Hamilton-Jacobi type is derive
## Abstract In this paper, the method of deriving the Bäcklund transformation from the Riccati form of inverse method is presented for the perturbed nonlinear Schrödinger equation (PNSE). Consequently, the exact solutions for the PNSE can be obtained by the AKNS class. The technique developed relie