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Approximate Methods for Obtaining Multi‐Phase Modes in Nonlinear Dispersive Wave Problems
Author(s) -
Ablowitz M. J.
Publication year - 1972
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/sapm197251117
Subject(s) - nonlinear system , perturbation (astronomy) , mathematical analysis , mathematics , wave propagation , phase (matter) , physics , classical mechanics , optics , quantum mechanics
Perturbation and numerical methods are used to find singly periodic and multiply periodic solutions to equations which arise in the study of nonlinear wave propagation. Approximation techniques such as these are essential in those cases where exact representations of the modes are not feasible.