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The construction of special solutions to partial differential equations

✍ Scribed by Peter J. Olver; Philip Rosenau

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
480 KB
Volume
114
Category
Article
ISSN
0375-9601

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✦ Synopsis

Almost all the methods devised to date for constructing particular solutions to a partial differential equation can be viewed as manifestations of a single unifying method characterized by the appending of suitable "side conditions" to the equation, and solving the resulting overdetermined system of partial differential equations. These side conditions can also be regarded as specifying the invariance of the particular solutions under some generalized group of transformations.

πŸ“œ SIMILAR VOLUMES

NOTE: Special Solutions to Nonlinear Dif
NOTE: Special Solutions to Nonlinear Difference-Differential Equations
✍ Kazuaki Narita πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 108 KB

In a previous paper, we presented new difference-differential equations, and studied their N-soliton solution, elliptic function solutions, and 1-soliw x ton solution under a nonvanishing boundary condition at the infinity 1 . In this note, we present new special solutions for the above equations wh