Results 31 to 40 of about 4,339 (214)
Phase portraits and new exact traveling wave solutions of the (2+1)-dimensional Hirota system
Results in Physics, 2023 In this paper, we investigate the (2+1)-dimensional Hirota system of equations, which is essential for modeling physical events since it contains the NLS equation and the cmKdV equation. We apply the Jacobi elliptic function method to obtain new results.
Gaukhar Shaikhova +2 more
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Hamilton-Jacobi Equations on Graph and Applications [PDF]
Potential Analysis, 2017 This paper introduces a notion of gradient and an infimal-convolution operator that extend properties of solutions of Hamilton Jacobi equations to more general spaces, in particular to graphs. As a main application, the hypercontractivity of this class of infimal-convolution operators is connected to some discrete version of the log-Sobolev inequality ...
openaire +4 more sources
Hamilton-Jacobi Method for Mechanical Systems on Time Scales
Complexity, 2018 This paper presents the Hamilton-Jacobi method for integrating the equations of motion of mechanical systems on time scales. We give the criterion and four basic forms of canonical transformation on time scales.
Xiang-Hua Zhai, Yi Zhang
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Partial Differential Equations in Applied MathematicsIn this research, the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation ((3+1)-GKPE) that expresses various nonlinear phenomena was studied.
Ahmad H. Alkasasbeh +2 more
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Journal of Function Spaces, 2017 We develop a generalized Jacobi-Galerkin method for second kind Volterra integral equations with weakly singular kernels. In this method, we first introduce some known singular nonpolynomial functions in the approximation space of the conventional Jacobi-
Haotao Cai
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Frontiers in Physics, 2023 In this work, we present two finite-dimensional Lie–Poisson Hamiltonian systems associated with the Hirota–Satsuma modified Boussinesq equation by using the nonlinearization method. Moreover, the separation of variables on the common level set of Casimir
Xue Geng, Dianlou Du, Xianguo Geng
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Advances in High Energy Physics, 2016 Based on semiclassical tunneling method, we focus on charged fermions tunneling from higher-dimensional Reissner-Nordström black hole. We first simplify the Dirac equation by semiclassical approximation, and then a semiclassical Hamilton-Jacobi equation ...
ShuZheng Yang, Dan Wen, Kai Lin
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Mutual Adaptation and Influence: Review of Latent Dynamics Models in Human–Robot Interaction
Advanced Robotics Research, EarlyView.Robots are becoming better teammates by learning hidden patterns in how people act. This review covers how state‐of‐the‐art approaches leverage these patterns to help robots not only react but also anticipate and guide cooperation. Here, we synthesize a unifying framework for these approaches, classify and review existing works, and highlight key ...
Mason O. Smith +4 more
wiley +1 more source
Conformal Reconfigurable Intelligent Surfaces: A Cylindrical Geometry Perspective
Advanced Electronic Materials, EarlyView.Cylindrical reconfigurable intelligent surfaces are explored for low‐complexity beam steering using one‐bit meta‐atoms. A multi‐level modeling approach, including optimization‐based synthesis, demonstrates that even minimal hardware can support directive scattering.
Filippo Pepe +4 more
wiley +1 more source
Journal of Physics CommunicationsIn this study, we discuss Jacobi stability in equilibrium and nonequilibrium regions for a first-order one-dimensional system using deviation curvatures.
Yuma Hirakui, Takahiro Yajima
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