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An Exactly Solvable Nonlinear Partial Differential Equation with Solitary‐Wave Solutions
Author(s) -
Cheng Hung
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/sapm1984703183
Subject(s) - partial differential equation , mathematics , nonlinear system , first order partial differential equation , mathematical analysis , separable partial differential equation , method of characteristics , hyperbolic partial differential equation , differential equation , physics , ordinary differential equation , differential algebraic equation , quantum mechanics
A pair of nonlinear partial differential equations occurring in a physical problem are solved exactly. Under proper conditions, these equations have solitary‐wave solutions.