BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application

THE NUMERICAL APPROXIMATION OF STATIONARY WAVE SOLUTIONS FOR TWO-COMPONENT SYSTEM OF NONLINEAR SCHRĂ–DINGER EQUATIONS BY USING GENERALIZATION PETVIASHVILI METHOD

Robbaniyyah, Nuzla Af’idatur (Unknown)
Chern, Jann-Long (Unknown)
Abdurahim, Abdurahim (Unknown)



Article Info

Publish Date
31 Jul 2024

Abstract

The Petviashvili method is a numerical method for obtaining fundamental solitary wave solutions of stationary scalar nonlinear wave equations with power-law nonlinearity: , where is a positive definite and self-adjoint operator and is constant. Due to the case being a system of solitary nonlinear wave equations, we generalize the Petviashvili method. We apply this generalized method for a two-component system of Nonlinear Schr dinger Equations (NLSE) for 2-D.

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Journal Info

Abbrev

barekeng

Publisher

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...