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Unitary Entities Are the True "Atoms". [PDF]

Entropy (Basel)
Jeynes C, Parker MC.
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A variational principle for a fractal nano/microelectromechanical (N/MEMS) system

International Journal of Numerical Methods for Heat & Fluid Flow, 2022
Purpose The variational principle views a complex problem in an energy way, it gives good physical understanding of an iteration method, and the variational-based numerical methods always have a conservation scheme with a fast convergent rate.
Chun-Hui He
semanticscholar   +1 more source

Complementary variational principles and variational-iterative principles

Journal of Physics A: Mathematical and General, 1981
Complementary variational principles for the solution of certain linear equations are developed. It is shown that these may be used iteratively for the solution of nonlinear equations. Examples are presented with applications in particle theory, electromagnetic theory, communication theory and the Thomas-Fermi statistical theory for atoms.
Burrows, B. L., Perks, A. J.
openaire   +2 more sources

Lagrange crisis and generalized variational principle for 3D unsteady flow

International journal of numerical methods for heat & fluid flow, 2019
Purpose A three-dimensional (3D) unsteady potential flow might admit a variational principle. The purpose of this paper is to adopt a semi-inverse method to search for the variational formulation from the governing equations.
Ji-Huan He
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VARIATIONAL PRINCIPLE FOR A GENERALIZED KdV EQUATION IN A FRACTAL SPACE

Fractals, 2020
A generalized KdV equation with fractal derivatives is suggested, and a special function is introduced to establish a fractal variational principle. A detailed derivation is elucidated step by step by the semi-inverse method, and some special cases are ...
Yue Shen, Ji-Huan He
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Optical soliton perturbation with Kudryashov's equation by semi–inverse variational principle

, 2020
The semi–inverse variational principle retrieved bright 1–soliton solution to the perturbed Kudryashov's equation. The perturbation terms appear with maximum intensity and additionally higher order dispersion effects are included.
A. Biswas, M. Asma, P. Guggilla, L. Mullick, L. Moraru, M. Ekici, A. K. Alzahrani, M. Belić   +7 more
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A FRACTAL VARIATIONAL PRINCIPLE FOR THE TELEGRAPH EQUATION WITH FRACTAL DERIVATIVES

Fractals, 2020
A fractal modification of the telegraph equation with fractal derivatives is given, and its variational principle is established by the semi-inverse method.
Kang-le Wang, Shaowen Yao, Yanping Liu, Li-na Zhang   +3 more
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Clifford Circuits Augmented Time-Dependent Variational Principle.

Physical Review Letters
The recently proposed Clifford circuits augmented matrix product states (CA-MPSs) [X. Qian, J. Huang, and M. Qin, Phys. Rev. Lett. 133, 190402 (2024)PRLTAO0031-900710.1103/PhysRevLett.133.190402] seamlessly augment density matrix renormalization groups ...
Xiangjian Qian, Jiale Huang, Mingpu Qin
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