Results 31 to 40 of about 6,655,493 (368)
Acoustics, 2022 The second-order partial differential wave Equation (Cauchy’s first equation of motion), derived from Newton’s force equilibrium, describes a standing wave field consisting of two waves propagating in opposite directions, and is, therefore, a “two-way ...
Hans-Joachim Raida
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Global existence of small-norm solutions in the reduced Ostrovsky equation [PDF]
, 2013 We use a novel transformation of the reduced Ostrovsky equation to the integrable Tzitz\'eica equation and prove global existence of small-norm solutions in Sobolev space $H^3(R)$.
Grimshaw, Roger, Pelinovsky, Dmitry
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A new approach to the exact solutions of the effective mass Schrodinger equation [PDF]
, 2007 Effective mass Schrodinger equation is solved exactly for a given potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function.
A. Ganguly +31 more
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Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase transition point
, 2012 Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase-transition point are analytically studied. A nonlinear Klein-Gordon equation is derived for the envelope of these wave packets. A variety of novel phenomena known to exist
Bender +14 more
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Coastal Engineering 1976, 1976 In the early 1950's the Corps of Engineers' Jacksonville District initiated a series of laboratory tests to investigate the overtopping of proposed levee sections for Lake Okeechobee, Florida. For economic reasons, the alternative to build levees with crest elevations that were at times below the limit of wave runup was investigated and the quantities ...
openaire +2 more sources
The Wave Equation for a Moving Source and a Moving Receiver
MathematicsThe ordinary 3D wave equation for nondissipative, homogeneous, isotropic media admits solutions where the point sources are permitted to move, but as shown in this paper, it does not admit solutions where the receiver is allowed to move. To overcome this
Hrvoje Dodig
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Evolution of non-stationary pulses in a cold magnetized quark-gluon plasma
, 2019 We study weakly nonlinear wave perturbations propagating in a cold nonrelativistic and magnetized ideal quark-gluon plasma. We show that such perturbations can be described by the Ostrovsky equation.
Fariello, R. +3 more
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Journal of Applied Mathematics, 2014 The simplest equation method presents wide applicability to the handling of nonlinear wave equations. In this paper, we focus on the exact solution of a new nonlinear KdV-like wave equation by means of the simplest equation method, the modified simplest ...
Yinghui He, Yun-Mei Zhao, Yao Long
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Numerical study on the generation and evolution of the super-rogue waves
Journal of Ocean Engineering and Science, 2016 The super-rogue wave solutions of the nonlinear Schrödinger equation (NLS) are numerically studied based on the weakly nonlinear hydrodynamic equation. The super-rogue wave solutions up to the 5th order, also known as the so-called super-rogue waves, are
Jianmin Yang, Wenyue Lu
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Boundary Value Problems, 2021 Under the acoustic boundary conditions, the initial boundary value problem of a wave equation with multiple nonlinear source terms is considered. This paper gives the energy functional of regular solutions for the wave equation and proves the decreasing ...
Shoubo Jin, Jian Li
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