Part of the Lecture Notes in Physics book series (LNP, volume 130)
Determining the final profiles from the initial profiles for the full three-dimensional three-wave resonant interaction
KeywordsFundamental Solution Asymptotic Form Inverse Scattering Scattering Problem Resonant Interaction
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- H. Cornille: J. Math. Phys. 20, 1653 (1979)Google Scholar
- D.J. Kaup: “A method for solving the separable initial value problem of the full three-dimensional threewave resonant interaction”, to appear in Stud. Appl. Math.Google Scholar
- D.J. Kaup: Stud. Appl. Math. 55, 9 (1976)Google Scholar
- V.E. Zakharov, S.V. Manakov: Zh. Eksp. Teor. Fiz. 69, 1654 (1975) [Sov. Phys.-JETP 42, 842 (1976)]Google Scholar
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- V.E. Zakharov, A.B. Shabat: Funk. Anal. Priloz. 8, 43 (1974)Google Scholar
- D.J. Kaup: “The inverse scattering solution for the full three-dimensional three-wave resonant interaction,” to appear in Physica D.Google Scholar
- Parts of this two-dimensional inverse scattering problem have also been solved by L.P. Niznik: Inverse Nonstationary Problem of Scattering Theory (Naukora Dumka, Kiev, 1973), 182 pp.Google Scholar
- D.J. Kaup: “The solution of the general initial value problem for the full three-dimensional three-wave resonant interaction,” to appear in the proceedings of the Soviet-American Soliton Symposium, Kiev, September 2–14, 1979Google Scholar
© Springer-Verlag 1980