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The Wave Equation with Energy Dependent Potential - the Linear Case [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2011
We summarize recent works devoted to energy dependent potentials. It concerns the class of potentials having a coupling constant depending linearly on the energy. Introduced in the Schrödinger equation, it produces non-linear effects.
Ronald Lombard
doaj   +1 more source

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, Mingming Chen, Xianguo Geng, Ruomeng Li   +3 more
doaj   +1 more source

Quantum algorithm for simulating the wave equation [PDF]

Physical Review A, 2017
We present a quantum algorithm for simulating the wave equation under Dirichlet and Neumann boundary conditions. The algorithm uses Hamiltonian simulation and quantum linear system algorithms as subroutines.
Pedro C. S. Costa, S. Jordan, Aaron Ostrander   +2 more
semanticscholar   +1 more source

The Q-Time Deformed Wave Equation

Journal of Mathematics, 2022
For q∈0,1, we introduce the q-time deformed wave equation; using the q-derivative, the solution of the q-time deformed wave equation is given. Also, we introduce the free-time wave equation which is a limit case q⟶0 of the q-time deformed wave equation.
Al-Nashri Al-Hossain Ahmad, Sami H. Altoum   +1 more
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Generalizations of the wave equation [PDF]

Transactions of the American Mathematical Society, 1993
The main result of this paper is a generalization of the property that, for smooth u u , u x y = 0 {u_{xy}} = 0 implies ( ∗ ) (\ast ) \[ u ( x
Dan Rinne, J. Marshall Ash, Jonathan Cohen, Chris Freiling   +3 more
openaire   +3 more sources

Numerical simulations of pure quasi-P-waves in orthorhombic anisotropic media

Frontiers in Earth Science, 2023
The accurate simulation of anisotropic media is critical in seismic imaging and inversion. In recent years, some scholars have dedicated efforts to the study of precise elastic waves in anisotropic media; however, it is easy to separate P-wave and S-wave
Hao Wang, Jianping Huang, Jidong Yang, Yi Shen   +3 more
doaj   +1 more source

Gravitational-Wave Constraints on the Neutron-Star-Matter Equation of State. [PDF]

Physical Review Letters, 2017
The detection of gravitational waves originating from a neutron-star merger, GW170817, by the LIGO and Virgo Collaborations has recently provided new stringent limits on the tidal deformabilities of the stars involved in the collision.
Eemeli Annala, Tyler Gorda, A. Kurkela, A. Vuorinen   +3 more
semanticscholar   +1 more source

Penyelesaian Persamaan Telegraph Dan Simulasinya

Jurnal Fourier, 2013
Equation Telegraph is one of type from wave equation. Solving of the wave equation obtainable by using Green's function with the method of boundary condition problem.
Agus Miftakus Surur, Yudi Ari Adi, Sugiyanto Sugiyanto   +2 more
doaj   +1 more source

Regarding on the Results for the Fractional Clannish Random Walker’s Parabolic Equation and the Nonlinear Fractional Cahn-Allen Equation

Advances in Mathematical Physics, 2022
In this research, the Ψ,Φ-expansion scheme has been implemented for the exact solutions of the fractional Clannish Random Walker’s parabolic (FCRWP) equation and the nonlinear fractional Cahn-Allen (NFCA) equation.
Md. Nur Alam, Onur Alp İlhan, Md. Sabur Uddin, Md. Abdur Rahim   +3 more
doaj   +1 more source

Comparative Study on Numerical Simulation of Wave-Current Nonlinear Interaction Based on Improved Mass Source Function

Journal of Marine Science and Engineering, 2023
In coastal waters, wave propagation is often affected by rivers and tides. The wave current interaction increases the complexity of the wave propagation.
Haitao Li, Jijian Lian, Enxian Zhou, Gang Wang   +3 more
doaj   +1 more source