Solitary Wave Solutions to the Korteweg-de Vries (KdV) and the Modified Regularized Long Wave (MRLW) Equations


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Authors

  • Shahanaj Pervin Department of Arts and Sciences, Bangladesh Army University of Science and Technology, Saidpur, Bangladesh
  • Md. Aynul Habib Department of Arts and Sciences, Bangladesh Army University of Science and Technology, Saidpur, Bangladesh

Keywords:

Korteweg-de Vries (kdV) equation and the Modified Regularized Long Wave (MRLW) equation, Cosine-Function method

Abstract

The main aim of this paper is to demonstrate the use of cosine function method for nonlinear partial differential equations such as Korteweg-de Vries (kdV) equation and Modified Regularized Long Wave (MRLW) equation. The cosine function method provides a mathematical powerful tool for obtaining exact travelling wave solution of these equations. The significance of obtained solutions gives credence to the explanation and understanding of related physical phenomena.

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Published

15-03-2020

How to Cite

Shahanaj Pervin, & Md. Aynul Habib. (2020). Solitary Wave Solutions to the Korteweg-de Vries (KdV) and the Modified Regularized Long Wave (MRLW) Equations. International Journal of Mathematics And Its Applications, 8(1), 1–5. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/170

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Section

Research Article