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Journal of Environmental Accounting and Management
Dmitry Kovalevsky (editor), Jiazhong Zhang(editor)
Dmitry Kovalevsky (editor)

Climate Service Center Germany (GERICS), Helmholtz-Zentrum Hereon, Fischertwiete 1, 20095 Hamburg, Germany

Fax: +49 (0) 40 226338163 Email: dmitry.v.kovalevsky@gmail.com

Jiazhong Zhang (editor)

School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi Province 710049, China

Fax: +86 29 82668723 Email: jzzhang@mail.xjtu.edu.cn


Exact Solutions Involving two Jacobi Elliptic Functions for General Boussinesq Equation

Journal of Environmental Accounting and Management 10(1) (2022) 7--17 | DOI:10.5890/JEAM.2022.03.002

S. P. Joseph

Government Engineering College, Wayanad, Kerala, India

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Abstract

In this paper, several new exact traveling wave solutions for a general Boussinesq equation are derived. Boussinesq equation is a fourth order nonlinear partial differential equation which is used to study dynamics of water waves in fluid dynamics and other physical phenomena such as the dynamics of thin inviscid layers, non-linear lattice waves and vibration in nonlinear strings. We derive all the exact solutions which are the linear combinations of square of two Jacobi elliptic functions and a constant term. Since the computations are much more involved, required solutions are obtained using computer algebra system.

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