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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.