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Inverse Scattering Method

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Elastic Media with Microstructure I

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 26))

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Abstract

The method of inverse scattering is a new method of mathematical physics, which is applicable to a class of nonlinear wave equations. This chapter was written by V.E. Zakharov who made a significant contribution to the development of the method.

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References

  1. C.S. Gardner, J.M. Green, M. Kruskal, R.M. Miura: Method for solving the Korteweg-de Vries equation. Phys. Rev. Lett. 19, 1095–1097 (1967)

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  2. V.A. Marchenko: Spektralnaya Teoria Operatorov Sturma-Liouvillia (Spectral Theory of Sturm-Liouville Operators) (Naukova Dumka, Kiev 1972 )

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  3. I. Kay, V.E. Moses: Reflectionless transmission through dielectrics and scattering potentials. J. Appl. Phys. 27, 1503–1508 (1956)

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  4. A.B. Shabat: On the Korteweg-de Vries equation. Sov Math. Dokl. 14, 1266–1270 (1973)

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© 1982 Springer-Verlag Berlin Heidelberg

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Kunin, I.A. (1982). Inverse Scattering Method. In: Elastic Media with Microstructure I. Springer Series in Solid-State Sciences, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81748-9_6

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  • DOI: https://doi.org/10.1007/978-3-642-81748-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81750-2

  • Online ISBN: 978-3-642-81748-9

  • eBook Packages: Springer Book Archive

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