Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution
Author(s) -
Yusuf Pandır,
Yusuf Gürefe,
Uğur Kadak,
Emine Mısırlı
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/478531
Subject(s) - mathematics , partial differential equation , korteweg–de vries equation , first order partial differential equation , nonlinear system , polynomial , soliton , differential equation , mathematical analysis , elliptic partial differential equation , physics , quantum mechanics
We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa Holm KP equation and KdV equation by the complete discrimination system for polynomial method. In discussion, we propose a more general trial equation method for nonlinear partial differential equations with generalized evolution
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