TY  - JOUR
TI  - AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD
AB  - In the present work, we modified the conventional ”weighted residual method”to some nonlinear evolution equations and tried to obtain the approximate progressivewave solutions for these evolution equations. For the illustration of the method we studied the approximate progressive wave solutions for the perturbed KdV and the dissipativeNLS equations. The results obtained here are in complete agreement with the solutionsof inverse scattering method. The present solutions are even valid when the dissipativeeffects are considerably large. The results obtained are encouraging and the method canbe used to study the cylindrical and spherical evolution equations.
AU  - Demiray, lmi
PY  - 2019
JO  - TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics
VL  - 9
IS  - 4
SN  - 2146-1147
SP  - 786
EP  - 791
DB  - TRDizin
UR  - http://search/yayin/detay/456186
ER  -