Solutions to the Wave Equation
Bounded solutions for the nonlinear wave equation
... Full list of author information is available at the end of the article Abstract We investigate the number of periodic weak solutions for the wave equation with nonlinearity decaying at the origin. We ...
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The Wave Equation and General Plane Wave Solutions in Fractional Space
... of wave propagation in such fractal media can be studied by replacing these fractal confining structures with an effective space of non- integer dimension ...plane wave solutions investigated in this ...
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Blow up of the Solutions of Nonlinear Wave Equation
... of solutions of nonlinear wave equations in three space dimensions,” Manuscripta Mathematica, ...the solutions of nonlinear wave equation in Reissner-Nordstr¨om metric,” Dynamics of ...
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Decay estimate of solutions for a semi-linear wave equation
... Full list of author information is available at the end of the article Abstract In this paper, we investigate the initial value problem for a semi-linear wave equation in n-dimensional space. Under a ...
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The finite speed of propagation for solutions to stochastic viscoelastic wave equation
... weak solutions in the probabilistic sense for a general class of stochastic semilinear wave equations on bounded domains of R n driven by a possibly dis- continuous square integrable ...the solutions ...
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Solutions to Time Fractional Diffusion Wave Equation in Cylindrical Coordinates
... Nonaxisymmetric solutions to time-fractional diffusion-wave equation with a source term in cylindrical coordinates are obtained for an infinite ...The solutions are found using the Laplace ...
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EXISTENCE AND NONEXISTENCE OF BIFURCATION OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION
... travelling wave solutions of nonlinear dispersive long wave equation by using Lyapunov- Schmidt ...regular solutions for the reduced equation corresponding to the main ...
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Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions
... quasilinear wave equation u tt – u t – div ( |∇ u | α –2 ∇ u ) – div ( |∇ u t | β –2 ∇ u t ) + a | u t | m–2 u t = b | u | p–2 u a,b > 0, associated with initial and Dirichlet boundary conditions at one ...
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Young measure solutions for a fourth-order wave equation with variable growth
... measure solutions to a fourth-order wave equation with variable exponent nonlinearity on a bounded ...measure solutions is also investigated by applying a lemma developed by ...
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Quasi-periodic solutions for nonlinear wave equation with singular Legendre potential
... nonlinear wave equation with singular Legendre potential u tt – u xx + V L (x)u + mu + perturbation = 0 subject to certain boundary conditions is considered, where m is a positive real number and V L (x) = ...
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Left Chiral Solutions for the Hydrogen Atom of the Wave Equation for Electron + Neutrino
... Schrödinger equation in the case of the hydrogen atom has given the reason of the quanti- zation of the energy levels in ...his wave equation in 1928 [1], the solutions in the H atom case ...
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Global classical solutions to the Cauchy problem for a nonlinear wave equation
... existence of a solution to the Cauchy problem (1.2) when the domain D(A) of the operator A have compact imersion on the real Hilbert space H and the M() is a nonnegative locally.. Lipsch[r] ...
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Non-existence of Global Solutions to a Wave Equation with Fractional Damping
... Holm: Physical interpretation of fractional diffusion- Wave equation via lossy media obeying frequency power law.. Holm: Fractional Laplacian, Levy stable distribution and time-space mod[r] ...
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Signum-Gordon wave equation and its self-similar solutions
... Probably the most interesting topic is related to dynamics of topological com- pact solitons (compactons) found in [7]. These solitons have a piece-wise parabolic shape, and the pertinent field-theoretic model contains ...
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Global infinite energy solutions of the critical semilinear wave equation
... The above theorem gives estimates for solutions of wave equations which are localized in frequency in dyadic annuli. We will make use in the following of estimates in Besov and Sobolev spaces; they are ...
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This is the second in a series of two papers investigating the solitary wave solutions of the integrable model wave equation
... solitary wave solution to Equation ...solitary wave solutions of the KdV ...solitary wave solutions of ...solitary wave solutions of ...solitary wave ...
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Global existence and blow up of solutions for a nonlinear wave equation with memory
... for solutions starting in the unstable set is proved, but also under some appropriate assumptions on g and the initial data, a blow-up result with positive initial energy is ...global solutions for strong ...
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Some Travelling Wave Solutions of KdV-Burgers Equation
... Travelling wave, Tanh method, KdV-Burgers equation, Trav- elling wave solutions 1 Introduction Travelling waves are conspicuous in many linear equations and nonlinear mod- eling of waves, for ...
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Wave Solutions to the Yang-Mills Equation
... various wave solutions. Moreover, a general ansatz for a free plane wave is identified and is of considerable physical sig- ...plane wave solution be ...plane wave solution through ...
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Exact Traveling Wave Solutions of Equalwidth Equation
... traveling wave transformation method are applied to the Equalwidth equation to obtain the exact solution of the Equalwidth equa- ...obtained solutions include trigonometric functions, hyperbolic ...
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