Results 1 to 10 of about 4,339 (214)
Periodic structures of solitons and shock wave solutions in the fractional nonlinear Shynaray-IIA equation via a generalized analytical method [PDF]
Scientific ReportsIn this research, we utilized the Jacobi elliptic function expansion method to study the truncated M-fractional nonlinear Shynaray-IIA (S-IIA) equation with computational simulations. With the use of a truncated M-fractional derivative, the nonlinear (1 +
Mujahid Iqbal +7 more
doaj +2 more sources
Dispersive Optical Solitons for Stochastic Fokas-Lenells Equation With Multiplicative White Noise
Eng, 2022 For the first time, we study the Fokas–Lenells equation in polarization preserving fibers with multiplicative white noise in Itô sense. Four integration algorithms are applied, namely, the method of modified simple equation (MMSE), the method of sine ...
Elsayed M. E. Zayed +3 more
doaj +1 more source
A Study on the Convergence Analysis of the Inexact Simplified Jacobi–Davidson Method
Journal of Mathematics, 2021 The Jacobi–Davidson iteration method is very efficient in solving Hermitian eigenvalue problems. If the correction equation involved in the Jacobi–Davidson iteration is solved accurately, the simplified Jacobi–Davidson iteration is equivalent to the ...
Jutao Zhao, Pengfei Guo
doaj +1 more source
Results in Physics, 2022 In this paper, we retrieve some traveling wave, periodic solutions, bell shaped, rational, kink and anti-kink type and Jacobi elliptic functions of Burger’s equation and Shallow water wave equation with the aid of various integration schemes like ...
Farrah Ashraf +7 more
doaj +1 more source
Results in Physics, 2022 Abundant Jacobi elliptic type solutions with distinct physical structures of complex nonlinear conformable time-fractional modified Schrödinger equation are obtained by using the generalized Jacobi elliptic function (GJEF) method.
Pinki Kumari +3 more
doaj +1 more source
Dirac equation of spin particles and tunneling radiation from a Kinnersly black hole
European Physical Journal C: Particles and Fields, 2017 In curved space-time, the Hamilton–Jacobi equation is a semi-classical particle equation of motion, which plays an important role in the research of black hole physics.
Guo-Ping Li +3 more
doaj +1 more source
Evaluation of the Feynman Propagator by Means of the Quantum Hamilton-Jacobi Equation
Quanta, 2023 It is shown that the complex phase of the Feynman propagator is a solution of the quantum Hamilton–Jacobi equation, namely, it is the quantum Hamilton's principal function (or quantum action).
Mario Fusco Girard
doaj +1 more source
On integrability of the geodesic deviation equation
European Physical Journal C: Particles and Fields, 2018 The Jacobi equation for geodesic deviation describes finite size effects due to the gravitational tidal forces. In this paper we show how one can integrate the Jacobi equation in any spacetime admitting completely integrable geodesics.
Marco Cariglia +3 more
doaj +1 more source
Solitons and Jacobi Elliptic Function Solutions to the Complex Ginzburg–Landau Equation
Frontiers in Physics, 2020 The complex Ginzburg–Landau (CGL) equation which describes the soliton propagation in the presence of the detuning factor is firstly considered; then its solitons as well as Jacobi elliptic function solutions are obtained systematically using a modified ...
Kamyar Hosseini +6 more
doaj +1 more source
Separability in consistent truncations
Journal of High Energy Physics, 2021 The separability of the Hamilton-Jacobi equation has a well-known connection to the existence of Killing vectors and rank-two Killing tensors. This paper combines this connection with the detailed knowledge of the compactification metrics of consistent ...
Krzysztof Pilch +2 more
doaj +1 more source