Results 281 to 290 of about 10,797 (309)

Investigations of Solutions of Nonlinear Hyperbolic Equations with a Small Nonlinearity and Applications

SIAM Journal on Mathematical Analysis, 1994
Summary: The Cauchy problem for the nonlinear hyperbolic equation \[ L_ \varepsilon u+ \varepsilon^ p N_ \varepsilon (t,x, D^ \alpha u,\;|\alpha| \leq q)= f_ \varepsilon (t,x) \] of order \(m\geq 2\), \(0\leq q\leq m-1\), is studied; \(\varepsilon\in (0,1]\) is a small parameter.
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Nonlinear resonance for quasilinear hyperbolic equation

Journal of Mathematical Physics, 1987
The purpose of this paper is to study the wave behavior of hyperbolic conservation laws with a moving source. Resonance occurs when the speed of the source is too close to one of the characteristic speeds of the system. For the nonlinear system characteristic speeds depend on the basic dependence variables and resonance gives rise to nonlinear ...
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The Nonlinear Schrödinger Equation on Hyperbolic Space

Communications in Partial Differential Equations, 2007
In this article we study some aspects of dispersive and concentration phenomena for the Schrodinger equation posed on hyperbolic space  n , in order to see if the negative curvature of the manifold gets the dynamics more stable than in the Euclidean case.
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On the regularity of solutions of hyperbolic nonlinear equations

Annali di Matematica Pura ed Applicata, 1973
Some regularity results for the solutions of certain hyperbolic nonlinear equations are given.
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Nonlinear hyperbolic differential equations in microelectronics

Korean Journal of Computational & Applied Mathematics, 1995
Nonlinear hyperbolic differential equations have been a subject of intense research in the field of gas dynamics due to many engineering problems associated with high-speed airplanes, missiles, materials processing, etc. Recently, phenomena known from gas dynamics are found to occur also in the microeletronic devices such as MOSFET.
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The nonlinear Schrödinger equation on the hyperbolic space

2004
32 pages, final preprint ...
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On the zeros of solutions to nonlinear hyperbolic equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987
SynopsisWe consider the hyperbolic equation uxy + c(x, y, u) =f(x, y) and the wave equationWe show that, under suitable conditions, there are bounded domains in which every solution to certain problems has a zero. Characteristic initial value problems and initial boundary value problems are considered.
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Extended hyperbolic function method for the (2 +1)-dimensional nonlinear soliton equation

Results in Physics, 2022
Hamood Ur Rehman, Aziz Ullah Awan, Elsayed Tag Eldin   +2 more
exaly  

Asymptotic Equations for Nonlinear Hyperbolic Waves

1995
Universal asymptotic equations. It is a remarkable fact that, in suitable asymptotic limits, the behavior of almost all nonlinear waves is described by a few rather simple looking nonlinear equations. Examples include Burgers equation, the Kortewegde Vries (KdV) equation, and the nonlinear Schrodinger equation.
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Novel Complex Wave Solutions of the (2+1)-Dimensional Hyperbolic Nonlinear Schrödinger Equation

Fractal and Fractional, 2020
Hulya Durur, Esin Ilhan, Hasan Bulut
exaly