Solitary wave solutions of few nonlinear evolution equations

A. K. M. Kazi Sazzad Hossain; M. Ali Akbar; A. K. M. Kazi Sazzad Hossain; M. Ali Akbar

doi:10.3934/math.2020083

AIMS Mathematics

2020, Volume 5, Issue 2: 1199-1215. doi: 10.3934/math.2020083

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Research article

Solitary wave solutions of few nonlinear evolution equations

A. K. M. Kazi Sazzad Hossain ^{1
,
,},
M. Ali Akbar ²

1.
Department of Mathematics, Begum Rokeya University, Rangpur, Bangladesh
2.
Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh

Received: 08 October 2019 Accepted: 05 January 2020 Published: 17 January 2020

The solitary wave solutions of nonlinear evolution equations, in the recent years is being attractive in the field of physical sciences and engineering. In this article, we have investigated further general solitary wave solutions of three important nonlinear evolution equations, via the simplified MCH equation, the Pochhammer-Chree equation and the Schrödinger-Hirota equation by using modified simple equation method. These equations play an important role in the study of nonlinear sciences. The obtained solutions are expressed in terms of exponential and trigonometric functions including kink, singular kink and periodic soliton solutions. It is shown that the obtained solutions are more general and fresh and can be helpful to analyze the intricate physical incident in mathematical physics.
- modified simple equation method,
- simplified MCH equation,
- Pochhammer-Chree equation,
- Schrödinger-Hirota equation,
- solitary wave solutions
Citation: A. K. M. Kazi Sazzad Hossain, M. Ali Akbar. Solitary wave solutions of few nonlinear evolution equations[J]. AIMS Mathematics, 2020, 5(2): 1199-1215. doi: 10.3934/math.2020083

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Abstract

The solitary wave solutions of nonlinear evolution equations, in the recent years is being attractive in the field of physical sciences and engineering. In this article, we have investigated further general solitary wave solutions of three important nonlinear evolution equations, via the simplified MCH equation, the Pochhammer-Chree equation and the Schrödinger-Hirota equation by using modified simple equation method. These equations play an important role in the study of nonlinear sciences. The obtained solutions are expressed in terms of exponential and trigonometric functions including kink, singular kink and periodic soliton solutions. It is shown that the obtained solutions are more general and fresh and can be helpful to analyze the intricate physical incident in mathematical physics.

References

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