Dynamics of Shallow Water Waves with Various Boussinesq Equations

• Authors: H. Kumar , A. Malik , M. Singh Gautam , F. Chand
• Languages of publication: EN

Abstracts

EN

Attempt has been made to construct the solitary waves and shock wave solutions or domain walls (in higher dimension) for various Boussinesq equations. The method of undetermined coefficients have been used to explore the exact analytical solitary waves and shock wave solutions in terms of bell-shaped sech^p function and kink-shaped tanh^p function for the considered equations. The Boussinesq equation in the (1+1)-dimensional, the (2+1)-dimensional and the (3+1)-dimensional equations are studied and the parametric constraint conditions and uniqueness in view of both solitary waves and shock wave solutions are determined. Such solutions can be valuable and desirable for explaining some nonlinear physical phenomena in nonlinear science described by the Boussinesq equations. The effect of the varying parameters on the development of solitary waves and shock wave solutions have been demonstrated by direct numerical simulation technique.

Keywords

EN

Solitons; exact solutions; Boussinesq equation

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 131
• Issue: 2
• Pages: 275-282

Dates

published

2017-02

received

2016-09-18

(unknown)

2017-01-16

Contributors

author

H. Kumar

• Department of Physics, Dr. B.R. Ambedkar Institute of Technology, Port Blair-744103, India

author

A. Malik

• Department of Physics, Chaudhary Bansi Lal University, Bhiwani-127021, India

author

M. Singh Gautam

• Department of Physics, Indus Degree College, Jind-126102, India

author

F. Chand

• Department of Physics, Kurukshetra University, Kurukshetra-136119, India

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Identifiers

DOI

10.12693/APhysPolA.131.275