Multidimensional Inverse Scattering for First‐Order Systems | Zendy

Nachman Adrian I. | Zendy; Ablowitz Mark J. | Zendy

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Multidimensional Inverse Scattering for First‐Order Systems

Author(s) -

Nachman Adrian I.,

Ablowitz Mark J.

Publication year - 1984

Publication title -

studies in applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.164

H-Index - 46

eISSN - 1467-9590

pISSN - 0022-2526

DOI - 10.1002/sapm1984713251

Subject(s) - inverse scattering problem , inverse scattering transform , scattering , inverse problem , mathematics , quantum inverse scattering method , inverse , class (philosophy) , mathematical analysis , scattering theory , multidimensional systems , order (exchange) , physics , computer science , optics , geometry , finance , artificial intelligence , economics

A method for solving the inverse problem for a class of multidimensional first‐order systems is given. The analysis yields equations which the scattering data must satisfy; these equations are natural candidates for characterizing admissible scattering data. The results are used to solve the multidimensional N ‐wave resonant interaction equations.

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