Backlund-Transformations, Truncated Painleve Expansions, And Special Solutions Of Nonintegrable Long-Wave Evolution-Equations
Title - Alternative
Can. J. Phys.
ORDINARY DIFFERENTIAL-EQUATIONS; INVERSE SCATTERING; INTEGRABLE SYSTEMS; P-TYPE; PROPERTY; CONNECTION; SOLITONS; Physics, Multidisciplinary
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.
Canadian Journal of Physics
Choudhury, S R., "Backlund-Transformations, Truncated Painleve Expansions, And Special Solutions Of Nonintegrable Long-Wave Evolution-Equations" (1992). Faculty Bibliography. 2016.