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Binary Darboux transformation of vector nonlocal reverse-space nonlinear Schrödinger equations

Wen‐Xiu Ma, Yehui Huang, Fudong Wang, Yong Zhang, Liyuan Ding

2024International Journal of Geometric Methods in Modern Physics40 citationsDOI

Abstract

For vector nonlocal reverse-space nonlinear Schrödinger equations, a binary Darboux transformation is formulated by using two sets of eigenfunctions and adjoint eigenfunctions. The resulting binary Darboux transformation has been decomposed into an [Formula: see text]-fold product of single binary Darboux transformations. An application starting from zero seed potentials generates a class of soliton solutions.

Topics & Concepts

Transformation (genetics)Nonlinear systemMathematicsMathematical physicsSpace (punctuation)Binary numberMathematical analysisPhysicsQuantum mechanicsComputer scienceOperating systemChemistryArithmeticGeneBiochemistryNonlinear Waves and SolitonsNonlinear Photonic SystemsNumerical methods for differential equations
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