EXACT SOLITON SOLUTIONS FOR CONFORMABLE FRACTIONAL SIX WAVE INTERACTION EQUATIONS BY THE ANSATZ METHOD

Autor:	SAHAR M. ALQARALEH, ADEEB G. TALAFHA, SHAHER MOMANI, SHRIDEH AL-OMARI, MOHAMMED AL-SMADI
Rok vydání:	2022
Předmět:	Applied Mathematics Modeling and Simulation Geometry and Topology
Zdroj:	Fractals. 30
ISSN:	1793-6543 0218-348X
Popis:	In this paper, a conformable fractional time derivative of order [Formula: see text] is considered in view of the Lax-pair of nonlinear operators to derive a fractional nonlinear evolution system of partial differential equations, called the Fractional-Six-Wave-Interaction-Equations, which is derived in terms of one temporal plus one and two spatial dimensions. Further, an ansatz consisting of linear combinations of hyperbolic functions with complex coefficients is utilized to obtain an infinite set of exact soliton solutions for this system. Certain numerical examples are introduced to show the effectiveness of the ansatz method in obtaining exact solutions for similar systems of nonlinear evolution equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b53138a9660bcaf2a2dc8e7fc75ea8a6 https://doi.org/10.1142/s0218348x22401430 Zobrazit plný text záznamu