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Exact Solutions for Large Amplitude Waves in Dispersive and Dissipative Systems
Author(s) -
Varley Eric,
Seymour Brian
Publication year - 1985
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/sapm1985723241
Subject(s) - dissipative system , nonlinear system , mathematical analysis , amplitude , partial differential equation , mathematics , transformation (genetics) , differential equation , physics , optics , biochemistry , chemistry , quantum mechanics , gene
This paper describes some applications of a transformation which takes a system of two, first order, quasilinear, partial differential equations in two dependent and two independent variables into a similar system. Typically, the equations govern wave propagation in dispersive and dissipative systems. It is shown that certain nonlinear equations which are of current practical interest can be transformed into linear equations.