Exact Solutions for Some Nonlinear Partial Differential Equations in Mathematical Physics
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@Article{JICS-6-129,
author = {A.R. Shehata, E.M.E.Zayed and K.A.Gepreel},
title = {Exact Solutions for Some Nonlinear Partial Differential Equations in Mathematical Physics},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {6},
number = {2},
pages = {129--142},
abstract = { In this article, by introducing a new general ansatze, the improved (
)- expansion -
method is proposed to construct exact solutions of some nonlinear partial differential equations in
mathematical physics via the generalized Zakharov equations, the coupled Maccaris equations, the (2+1)-
dimensional Wu-Zhang equations and the (1+1) dimensional Fornberg – Whitham equation in terms of the
hyperbolic functions , trigonometric functions and rational function, where
satisfies a second order linear
ordinary differential equation. When the parameters are taken special values, the solitary wave are derived
from the traveling waves. This method is reliable, simple and gives many new exact solutions.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22686.html}
}
TY - JOUR
T1 - Exact Solutions for Some Nonlinear Partial Differential Equations in Mathematical Physics
AU - A.R. Shehata, E.M.E.Zayed and K.A.Gepreel
JO - Journal of Information and Computing Science
VL - 2
SP - 129
EP - 142
PY - 2024
DA - 2024/01
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22686.html
KW - The improved (
)- expansion method, Traveling wave solutions, The generalized
Zakharov equations, The coupled Maccaris equations, The (1+1) dimensional Fornberg – Whitham
equation , The (2+1)-dimensional Wu-Zhang equations.
AB - In this article, by introducing a new general ansatze, the improved (
)- expansion -
method is proposed to construct exact solutions of some nonlinear partial differential equations in
mathematical physics via the generalized Zakharov equations, the coupled Maccaris equations, the (2+1)-
dimensional Wu-Zhang equations and the (1+1) dimensional Fornberg – Whitham equation in terms of the
hyperbolic functions , trigonometric functions and rational function, where
satisfies a second order linear
ordinary differential equation. When the parameters are taken special values, the solitary wave are derived
from the traveling waves. This method is reliable, simple and gives many new exact solutions.
A.R. Shehata, E.M.E.Zayed and K.A.Gepreel. (2024). Exact Solutions for Some Nonlinear Partial Differential Equations in Mathematical Physics.
Journal of Information and Computing Science. 6 (2).
129-142.
doi:
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