Integrable inhomogeneous Lakshmanan-Myrzakulov equation
K.R. Esmakhanova, G.N. Nugmanova, Wei-Zhong Zhao, Ke Wu
TL;DR
This paper constructs an integrable inhomogeneous extension of the Lakshmanan-Myrzakulov equation using prolongation structure theory and establishes its equivalence to a (2+1)-dimensional generalized nonlinear Schrödinger equation.
Contribution
It introduces a novel inhomogeneous extension of the Lakshmanan-Myrzakulov equation and links it to a generalized (2+1)-dimensional NLSE, expanding integrable systems theory.
Findings
Successfully constructed the inhomogeneous integrable extension.
Established L-equivalence with a (2+1)-dimensional generalized NLSE.
Provides a new integrable model with potential applications in nonlinear physics.
Abstract
The integrable inhomogeneous extension of the Lakshmanan-Myrzakulov equation is constructed by using the prolongation structure theory. The corresponding L-equivalent counterpart is also given, which is the (2+1)-dimensional generalized NLSE.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Nonlinear Waves and Solitons · Fractional Differential Equations Solutions