AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD

Demiray, lmi

AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD

H. DEMİRAY (Işık Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, İstanbul, Türkiye)

TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics

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Yıl: 2019 Cilt: 9 Sayı: 4 Sayfa Aralığı: 786 - 791 Metin Dili: İngilizce İndeks Tarihi: 30-10-2021

AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD

Öz:

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.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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[3] G. L. Lamb Jr, (1980), Elements of Soliton Theory, Wiley, New York.
[4] H. Demiray, (2002), A note on the solution of perturbed Korteweg-deVries equation, Appl. Math. Computation, 132, pp. 643-647.
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APA	Demiray l (2019). AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD. , 786 - 791.
Chicago	Demiray lmi AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD. (2019): 786 - 791.
MLA	Demiray lmi AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD. , 2019, ss.786 - 791.
AMA	Demiray l AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD. . 2019; 786 - 791.
Vancouver	Demiray l AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD. . 2019; 786 - 791.
IEEE	Demiray l "AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD." , ss.786 - 791, 2019.
ISNAD	Demiray, lmi. "AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD". (2019), 786-791.

APA	Demiray l (2019). AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, 9(4), 786 - 791.
Chicago	Demiray lmi AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics 9, no.4 (2019): 786 - 791.
MLA	Demiray lmi AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, vol.9, no.4, 2019, ss.786 - 791.
AMA	Demiray l AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics. 2019; 9(4): 786 - 791.
Vancouver	Demiray l AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics. 2019; 9(4): 786 - 791.
IEEE	Demiray l "AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD." TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, 9, ss.786 - 791, 2019.
ISNAD	Demiray, lmi. "AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD". TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics 9/4 (2019), 786-791.