Results 31 to 40 of about 18,903 (124)

The complete solution of the Hamilton-Jacobi equation in Quantum Mechanics

, 1996
An ordinary unambiguous integral representation for the finite propagator of a quantum system is found by starting of a privileged skeletonization of the functional action in phase space, provided by the complete solution of the Hamilton-Jacobi equation.
openaire   +2 more sources

Surface Wave Solutions in 1D and 2D for the Broer–Kaup–Boussinesq–Kupershmidt System

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT The Broer–Kaup–Boussinesq–Kupershmidt (BKBK) system is a singular perturbation of the classical shallow water equations which modifies their transport velocity to depend on wave elevation slope. This modification introduces backward diffusion terms proportional to a real parameter κ$\kappa$.
Darryl D. Holm, Ruiao Hu, Hanchun Wang
wiley   +1 more source

Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
wiley   +1 more source

On the Hamilton-Jacobi Theory for Singular Lagrangian Systems

, 2012
We develop a Hamilton-Jacobi theory for singular lagrangian systems using the Gotay-Nester-Hinds constraint algorithm.
Abraham R., Bhaskara K. H., Cariñena J. F., David Martín de Diego, de León M., de León M., Dirac P. A. M., Gotay M. J., Gotay M. J., Gotay M. J., Juan Carlos Marrero, Longhi G., Manuel de León, Miguel Vaquero, Rund H., Sudarshan E. C. G., Sundermeyer K.   +16 more
core   +1 more source

Multiloitering Munition Cooperative Surrounding and Attack Method Based on Wolf Pack Algorithm

International Journal of Aerospace Engineering, Volume 2026, Issue 1, 2026.
Aiming at the optimization problem of multiloitering munitions cooperatively surrounding moving targets, this paper proposes a cooperative surrounding and attack method based on the wolf pack algorithm (WPA). Firstly, the relative kinematics model between the munitions and the target is established, and the cooperative surrounding task flow is analyzed
Zetian Zhang, Min Gao, Dan Fang, Chaowang Li, Mohammad Rezwan Habib   +4 more
wiley   +1 more source

Some Aspects of Modality in Analytical Mechanics [PDF]

, 2002
This paper discusses some of the modal involvements of analytical mechanics. I first review the elementary aspects of the Lagrangian, Hamiltonian and Hamilton-Jacobi approaches. I then discuss two modal involvements; both are related to David Lewis' work
J. Butterfield, Paderborn Mentis
core   +4 more sources

Converting Classical Theories to Quantum Theories by Solutions of the Hamilton-Jacobi Equation

, 2012
By employing special solutions of the Hamilton-Jacobi equation and tools from lattice theories, we suggest an approach to convert classical theories to quantum theories for mechanics and field theories.
A. Cucchieri, A. Sternbeck, C.-H. Gu, H. Rund, I. Bogolubsky, Iván Schmidt, R. Courant, T. D. Donder, W. Pauli, Zhi-Qiang Guo   +9 more
core   +1 more source

Supercritical Pitchfork Bifurcation of a Fractional‐Order Doubly‐Fed Induction Generator

Energy Science &Engineering, Volume 13, Issue 12, Page 5970-5987, December 2025.
ABSTRACT To address the problem of the chaos phenomenon caused by the parameter drift of a doubly‐fed induction generator (DFIG) due to a changing operating environment, a fractional‐order stator voltage/flux‐oriented control model is developed, and bifurcation theory and numerical simulations reveal that the chaos mechanism originates from ...
Wei Chen, Zhongli Chen, Zhanhong Wei, Jiangtao Li, Jie Lin   +4 more
wiley   +1 more source

AI Applications in the Environmental Control of Controlled Environment Agriculture in the Digital Age

Modern Agriculture, Volume 3, Issue 2, December 2025.
Artificial intelligence (AI) is reshaping controlled environment agriculture (CEA) by powering climate prediction, yield forecasting, pest and disease detection, and intelligent control systems. These innovations enhance efficiency, resilience, and sustainability while enabling multiscale integration with renewable energy and existing infrastructures ...
Wei‐Han Chen, Benjamin Decardi‐Nelson, Chieri Kubota, Fengqi You   +3 more
wiley   +1 more source

Causal loop quantum cosmology in momentum space

, 2008
We shall show that it is possible to make a causal interpretation of loop quantum cosmology using the momentum as the dynamical variable. We shall show that one can derive Bohmian trajectories.
ALI SHOJAI, de Broglie, FATIMAH SHOJAI, Golshani M., Shojai F.   +4 more
core   +1 more source