Nonlineer Schrödinger Denkleminin Tam Çözümleri

Yıl 2019, Cilt: 2 Sayı: 1, 11 - 19, 02.05.2019

Halide Gümüş , Halis Yılmaz

Öz

Bu makale Nonlineer Schrödinger denklemine ayrılmıştır. Öncelikle denklem hakkında bilgiler verilmiş ve daha sonra denklem enerji korumalı yöntem ile elde edilmiştir. Sonraki bölümde de ilerleyen dalga çözümünü elde ettik ve daha sonra Hirota metodunu kullanarak NLS denkleminin 1-soliton ve 2-soliton çözümünü verdik. Sonuç ve tartışma kısmı da beşinci bölümde verilmiştir.

Anahtar Kelimeler

İlerleyen dalga, Nonlineer Schrödinger (NLS) Denklemi, Hirota metodu

Exact Solutions of Nonlinear Schrödinger Equation

Öz

This article is devoted to NLS Equation. Firstly, we give some information about NLS then we obtain the equation by energy preserving method. Furthermore we construct a travelling wave solution for the NLS equation. Finally, by using Hirota's direct method we present one-soliton and two soliton solutions for the NLS.

Anahtar Kelimeler

Travelling wave, Nonlineer Schrödinger (NLS) Equation, Hirota's Direct Method

Kaynakça

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