Exact Solutions of Boussinesq Equations By Hirota Direct Method

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Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi
Volume:24 Issue:5
Exact Solutions of Boussinesq Equations By Hirota Direct Method

Exact Solutions of Boussinesq Equations By Hirota Direct Method

Authors : Halide Gümüş, Abdullah Baykal

Pages : 1113-1119

Doi:10.35414/akufemubid.1404205

View : 83 | Download : 145

Publication Date : 2024-10-01

Article Type : Research Paper

Abstract :Boussinesq Equations (BSQ) are the focus of this article. First, we provide a basic overview of Hirota\'s D operator, which is used to build multi-soliton solutions for equations involving nonlinear evolution. After that, some details regarding fourth-order BSQ are provided, and we use Hirota\'s direct method to find a one-solution solution. Hirota\'s bilinear approach is also used to solve a class of sixth-order Boussinesq-like equations with nonlinear evolution. The outcomes verified that this approach requires complete integrability.
Keywords : Hirota Direct Metod, Boussinesq Denklemleri, Soliton çözümler, mathematica12

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