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Similarity Reductions of a Generalized Double Dispersion Equation
Author(s) -
Bruzón M. S.,
Gandarias M. L.
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810587
Subject(s) - homogeneous space , formalism (music) , ordinary differential equation , elliptic function , mathematics , mathematical physics , bernoulli differential equation , differential equation , partial differential equation , exact differential equation , similarity (geometry) , mathematical analysis , pure mathematics , computer science , geometry , art , musical , image (mathematics) , artificial intelligence , visual arts
We apply the Lie–group formalism to deduce symmetries of a generalized double dispersion equation. We derive the ordinary differential equation to which the equation is reduced. We obtain exact solutions which can be expressed by various single and combine nondegenerative Jacobi elliptic function solutions and their degenerative solutions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)