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

Authors

Yoj Ynnel G. Gaviola ⋅ PH Department of Physics and Ateneo Innovation Center, Ateneo de Manila University
Benjamin B. Dingel ⋅ PH Department of Physics and Ateneo Innovation Center, Ateneo de Manila University, and Nasfine Photonics Inc.
Anthony Maagma ⋅ PH 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.