Title
Backlund-Transformations, Truncated Painleve Expansions, And Special Solutions Of Nonintegrable Long-Wave Evolution-Equations
Abbreviated Journal Title
Can. J. Phys.
Keywords
ORDINARY DIFFERENTIAL-EQUATIONS; INVERSE SCATTERING; INTEGRABLE SYSTEMS; P-TYPE; PROPERTY; CONNECTION; SOLITONS; Physics, Multidisciplinary
Abstract
Painleve expansions, truncated at various stages, are constructed for the conditionally-Painleve Benjamin-Bona-Mahoney (BBM), the modified Benjamin-Bona-Mahoney (MBBM), and the symmetric regularized long wave (SRLW) equations. Expansions truncated at the constant term lead to auto-Backlund transformations between two solutions of all three equations. Special solutions of the various equations, including a solitary-wave solution for the MBBM equation, and new one-parameter families of traveling-wave solutions for the BBM and SRLW equations are obtained using the truncated Painleve expansions.
Journal Title
Canadian Journal of Physics
Volume
70
Issue/Number
8
Publication Date
1-1-1992
Document Type
Article
Language
English
First Page
595
Last Page
602
WOS Identifier
ISSN
0008-4204
Recommended Citation
"Backlund-Transformations, Truncated Painleve Expansions, And Special Solutions Of Nonintegrable Long-Wave Evolution-Equations" (1992). Faculty Bibliography 1990s. 418.
https://stars.library.ucf.edu/facultybib1990/418
Comments
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