Premium
The first integral method for constructing exact and explicit solutions to nonlinear evolution equations
Author(s) -
Aslan Ísmail
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1599
Subject(s) - mathematics , traveling wave , nonlinear system , korteweg–de vries equation , integral equation , order (exchange) , evolution equation , mathematical analysis , physics , finance , quantum mechanics , economics
Problems that are modeled by nonlinear evolution equations occur in many areas of applied sciences. In the present study, we deal with the negative order KdV equation and the generalized Zakharov system and derive some further results using the so‐called first integral method. By means of the established first integrals, some exact traveling wave solutions are obtained in a concise manner. Copyright © 2012 John Wiley & Sons, Ltd.