Exact Solutions of the Rosenau–Hyman Equation, Coupled Kdv System and Burgers–Huxley Equation Using Modified Transformed Rational Function Method
Document Type
Article
Publication Date
2018
Keywords
Bernoulli equation, homogeneous balance method, modified transformed rational function method, exact solutions, geometric property
Digital Object Identifier (DOI)
https://doi.org/10.1142/S0217984918502822
Abstract
In this research, we study the exact solutions of the Rosenau–Hyman equation, the coupled KdV system and the Burgers–Huxley equation using modified transformed rational function method. In this paper, the simplest equation is the Bernoulli equation. We are not only obtain the exact solutions of the aforementioned equations and system but also give some geometric descriptions of obtained solutions. All can be illustrated vividly by the given graphs.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Modern Physics Letters B, v. 32, issue 24, art. 1850282
Scholar Commons Citation
Sun, Yong-Li; Ma, Wen-Xiu; Yu, Jian-Ping; and Khalique, Chaudry Masood, "Exact Solutions of the Rosenau–Hyman Equation, Coupled Kdv System and Burgers–Huxley Equation Using Modified Transformed Rational Function Method" (2018). Mathematics and Statistics Faculty Publications. 97.
https://digitalcommons.usf.edu/mth_facpub/97