Results 1 to 10 of about 26,959 (120)
Similarity Transformations and Nonlocal Reduced Integrable Nonlinear Schrödinger Type Equations
Mathematics, 2023 We present three reduced integrable hierarchies of nonlocal integrable nonlinear Schrödinger-type equations, starting from a given vector integrable hierarchy generated from a matrix Lie algebra of B type. The basic tool is the zero curvature formulation.
Li Cheng, Wen-Xiu Ma
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Geometrical Aspect of Compressibility Critical Exponent
Frontiers in Physics, 2022 Critical exponent γ ⪰ 1.1 characterizes the behavior of the mechanical compressibility of a real fluid when the temperature approaches the critical one.
J. S. Yu, W. K. Du, Q. H. Liu
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Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field
SciPost Physics Core, 2023 We demonstrate that the well-known expression for the charge magnetization of a sample with a non-zero Berry curvature can be obtained by demanding that the Einstein relation holds for the electric transport current.
Archisman Panigrahi, Subroto Mukerjee
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A vector super Newell long-wave-short-wave equation and infinite conservation laws
Partial Differential Equations in Applied Mathematics, 2022 Based on the zero-curvature equation and Lenard recursion equations, we propose a vector super long-wave-short-wave hierarchy associated with an (n+2)×(n+2)matrix spectral problem.
Kedong Wang +3 more
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Discrete Dynamics in Nature and Society, 2021 Starting from a novel discrete spectral problem, a family of integrable differential-difference equations is derived through discrete zero curvature equation.
Ning Zhang, Xi-Xiang Xu
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Using Vector-Product Loop Algebra to Generate Integrable Systems
Axioms, 2023 A new three-dimensional Lie algebra and its loop algebra are proposed by us, whose commutator is a vector product. Based on this, a positive flow and a negative flow are obtained by introducing a new kind of spectral problem expressed by the vector ...
Jian Zhang +3 more
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Canonical Coordinates and Natural Equation for Lorentz Surfaces in
Mathematics, 2021 We consider Lorentz surfaces in R13 satisfying the condition H2−K≠0, where K and H are the Gaussian curvature and the mean curvature, respectively, and call them Lorentz surfaces of general type. For this class of surfaces, we introduce special isotropic
Krasimir Kanchev +2 more
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Axioms, 2023 In this paper we consider examples of complex expansion (cKdV) and perturbation (pKdV) of the Korteweg–de Vries equation (KdV) and show that these equations have a representation in the form of the zero-curvature equation.
Tatyana V. Redkina +2 more
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Single-Soliton Solution of KdV Equation via Hirota’s Direct Method under the Time Scale Framework
Advances in Mathematical Physics, 2022 Hirota’s direct method is one significant way to obtain solutions of soliton equations, but it is rarely studied under the time scale framework. In this paper, the generalized KdV equation on time-space scale is deduced from one newly constructed Lax ...
Yuan Kong +6 more
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Bose-Einstein condensate in an elliptical waveguide
SciPost Physics Core, 2022 We investigate the effects of spatial curvature for an atomic Bose-Einstein condensate confined in an elliptical waveguide. The system is well described by an effective 1D Gross-Pitaevskii equation with a quantum-curvature potential, which has the shape ...
Luca Salasnich
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