Solving a nonlinear Modified Burgers' equation with a forcing term using a new Parametric Sinh-Method

Authors

Yoj Ynnel G. Gaviola Department of Physics and Ateneo Innovation Center, Ateneo de Manila University
Benjamin B. Dingel Department of Physics and Ateneo Innovation Center, Ateneo de Manila University, and Nasfine Photonics Inc.
Anthony Maagma College of Arts and Sciences, West Visayas State University

Abstract

In this work, we explore a nonlinear Modified Burgers' Equation (MBE) which is constructed by introducing an initially unknown forcing term. Modeled after the previously established Tanh-method, the "Parametric Sinh-Method" is conceived from a parametric ansatz possessing both hyperbolic tangent and hyperbolic sine forms on its terminals. A rigorous demonstration of the new Parametric Sinh-Method is performed, aiming to to solve the exact forcing term and corresponding solution to the MBE. Ultimately, a unique MBE+Solution pair is determined, offering a potential for further analysis.

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Issue

2023: Proceedings of the 41st Samahang Pisika ng Pilipinas Physics Conference

Article ID

SPP-2023-PC-10

Section

Poster Session C (Mathematical Physics, Optics, and Interdisciplinary Topics)

Published

2023-07-07

How to Cite

[1]

YYG Gaviola, BB Dingel, and A Maagma, Solving a nonlinear Modified Burgers’ equation with a forcing term using a new Parametric Sinh-Method, Proceedings of the Samahang Pisika ng Pilipinas 41, SPP-2023-PC-10 (2023). URL: https://proceedings.spp-online.org/article/view/SPP-2023-PC-10.