Solitary Wave Solutions to the General Class of Nonlocal Nonlinear Coupled Wave Equations

Şenay Pasinlioğlu; Gülçin Mihriye Muslu

doi:10.29130/dubited.1249987

Research Article

Yerel ve Lineer olmayan Kuple Dalga Denklemlerinin Genel Sınıfı için Yalnız Dalga Çözümleri

Year 2024, Volume: 12 Issue: 2, 947 - 956, 29.04.2024

Şenay Pasinlioğlu Gülçin Mihriye Muslu

https://doi.org/10.29130/dubited.1249987

Abstract

Bu makalede çekirdek fonksiyonları ile konvolüsyon işlemini içeren, yerel ve doğrusal olmayan kuple dalga denklemlerinin genel bir sınıfını inceliyoruz. Çekirdek fonksiyonlarının uygun seçimleri için sistem, Toda kafes sistemi, kuple Boussinesq denklemleri gibi iyi bilinen doğrusal olmayan kuple dalga denklemleri haline gelir. Petviashvili yöntemi kullanılarak, sistemin yalnız dalga çözümleri için bir sayısal şema önerilmiştir. Farklı çekirdekler kullanılarak, sayısal yöntemin geçerliliği test edilmiştir.

Keywords

Kuple Boussinesq denklemler, Petviashvili iterasyon yöntemi, yalnız dalga çözümleri.

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