The exact solutions for the nonisospectral AKNS hierarchy through the inverse scattering transform
β Scribed by Tong-ke Ning; Deng-yuan Chen; Da-jun Zhang
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 292 KB
- Volume
- 339
- Category
- Article
- ISSN
- 0378-4371
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π SIMILAR VOLUMES
## Abstract We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy. In addition, we revisit the connection between trace formulas and conserved quantities from the viewpoint of Krein's spectral shift theory.
The extended homogeneous balance method The extended hyperbolic function method a b s t r a c t The BΓ€cklund transformations and abundant explicit exact solutions to the AKNS shallow water wave equation are obtained by combining the extended homogeneous balance method with the extended hyperbolic f