New Function Solutions of Ablowitz-Kaup-Newell-Segur Water Wave Equation via Power Index Method

Autor:	Khalil Ahmad, Khudija Bibi
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Mathematics QA1-939
Zdroj:	Journal of Function Spaces, Vol 2022 (2022)
Druh dokumentu:	article
ISSN:	2314-8888
DOI:	10.1155/2022/9405644
Popis:	In this article, the applications of the Power Index Method (PIM) are presented to ascertain function solutions of the AKNS equation. We find out adequate explicit general solutions for the AKNS in the form of exponential, trigonometric, and logarithmic functions which have their importance in the physical sciences. We have used function transformations in which indexes of independent variables are nonrestricted parameters. During our investigation, we have seen that the nonlinear AKNS can be reduced to linear ODE by using PIM. All the solutions contain independent variables with parameters, and they are graphically represented by choosing suitable values of parameters.
Databáze:	Directory of Open Access Journals
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