Physically significant wave solutions to the Riemann wave equations and the Landau-Ginsburg-Higgs equation
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DOI: 10.1016/j.rinp.2021.104517
Abstract: Abstract The nonlinear Riemann wave equations (RWEs) and the Landau-Ginsburg-Higgs (LGH) equation are related to plasma electrostatic waves, ion-cyclotron wave electrostatic potential, superconductivity, and drift coherent ion-cyclotron waves in centrifugally inhomogeneous plasma. In this article,… read more here.
Keywords: landau ginsburg; ginsburg higgs; riemann wave; equation ... See more keywords
Exploring complex dynamics in nonlinear Riemann wave models using fractional calculus-based expansion.
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DOI: 10.1038/s41598-025-30414-6
Abstract: The nonlinear coupled Riemann wave equation serves as a mathematical framework for analyzing the interaction between short and long waves in various physical phenomena. Its importance lies in capturing both soliton-like behaviors and complex instabilities… read more here.
Keywords: nonlinear riemann; complex dynamics; riemann wave; exploring complex ... See more keywords
The exact solutions for the fractional Riemann wave equation in quantum mechanics and optics
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DOI: 10.1088/1402-4896/ad62a3
Abstract: In this paper, the fractional Riemann wave equation with M-truncated derivative (FRWE-MTD) is considered. The Jacobi elliptic function method and the modified extended tanh function method are applied to acquire new elliptic, rational, hyperbolic, and… read more here.
Keywords: optics; riemann wave; mechanics; wave equation ... See more keywords