Solution of nonlinear wave equation
EXPONENTIAL B-SPLINE COLLOCATION METHOD FOR THE NUMERICAL SOLUTION OF ONE-SPACE DIMENSIONAL NONLINEAR WAVE EQUATION WITH STRONG STABILITY PRESERVING TIME INTEGRATION
... In this paper, a new numerical method is presented to approximate the solution of second order one- dimensional nonlinear wave equation. The method is based on collocation of exponential ...
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Blow up of the Solutions of Nonlinear Wave Equation
... nontrivial solution u(t,r) = v(t)ω(r) for which u(t, r) ∈ Ꮿ ([0, 1] × [0, ∞ )), u(t,r) ≤ 1/B for every t ∈ [0, 1] and for every r ∈ [0, ∞ ), u(t,r) ≥ 1/A for every t ∈ [0, 1] and for every r ∈ [c,d], u(t,r) ≥ 0 ...
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Bounded solutions for the nonlinear wave equation
... of a solution of problem (.) in the space H reduces the problem to a situation where A – is a compact operator. In Section , we introduce a functional I defined on E whose critical points and weak solutions of ...
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Existence and exponential decay estimates for an N-dimensional nonlinear wave equation with a nonlocal boundary condition
... weak solution if ≤ p – ≤ N – , N ≥ , and a global unique strong solution if p – > N– , N ≥ (of course if N = or N = then the only requirement is p ≥ ...the solution decays ...
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Exact Traveling Wave Solution for Nonlinear Fractional Partial Differential Equation Arising in Soliton using the exp( f(?)) Expansion Method
... The nonlinear partial differential equations of mathematical physics are major subjects in physical science [1]. Exact solutions for these equations play an important role in many phenomena in physics such as ...
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Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms
... viscoelastic wave equa- tion with strong damping and boundary nonlinear ...the wave equation with nonlinear boundary damp- ...viscoelastic wave equation with ...
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Existence and asymptotic expansion of the weak solution for a wave equation with nonlinear source containing nonlocal term
... a wave equation with nonlinear source containing nonlocal ...for nonlinear term, the existence and uniqueness of a weak solution are ...weak solution is also ...
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Dispersion Effect on Traveling Wave Solution of K dV Equation
... common equation satisfying the balanced motion includes the Boussinesq equation [14-16] and the K-dV ...K-dV equation reduces conser- vation of mass and momentum to a single equation which is ...
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Modified Simple Equation Method and its Applications for some Nonlinear Evolution Equations in Mathematical Physics
... This equation can be derived from the classical shallow water theory in the so- called Boussinesq approximation ...The solution of ...simple equation method. To this end , we use the wave ...
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Crank Nicolson implicit method for the nonlinear Schrodinger Equation with variable coefficient
... numerical solution of nonlinear Schrodinger equation with variable coefficient is ...progressive wave solution of nonlinear Schrodinger equation with variable ...
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The General Analytical and Numerical Solution for the Nonlinear Klein-Gordon Equation
... exact solution of the Klein-Gordon equation is of high impor- tance for mixed scalar and vector ...exact solution of the Klein-Gordon for a num- ber of special potential has been of great interests ...
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A Nonlinear Ship Wave Solution Method
... In comparison to the boundary value problem of a deeply submerged body difference come from the free surface and the resulting wave body interaction. Again we will follow an approach which attempts a ...
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RETRACTED: The Modified Simple Equation Method and Its Applications in Mathematical Physics and Biology
... simple equation method [27]-[32] and so ...simple equation method for finding the exact traveling wave solution of some nonlinear partial differential equations, namely the diffusive ...
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LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION
... the nonlinear dispersive long wave in ...the nonlinear water model to coastal harbor ...long-wave equation by using the variable separation ...long-wave equation,their ...
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Current drive by high intensity, pulsed, electron cyclotron wave packets
... The nonlinear interaction of electrons with a high intensity, spatially localized, Gaussian, electro- magnetic wave packet, or beam, in the electron cyclotron range of frequencies is described by the ...
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A nonexistence result for a nonlinear wave equation with damping on a Riemannian manifold
... In this paper, we study the global nonexistence of solutions to a nonlinear wave equation with critical potential V(x) on a Riemannian manifold, the form of which is more general than those in []. ...
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Invariant manifold of hyperbolic elliptic type for nonlinear wave equation
... Acknowledgments. The results of the existence of quasi periodic solu- tions (or invariant tori) for nonlinear wave equations of constant-value poten- tial are mainly attributed to Bobenko and Kuksin [1] and ...
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Global classical solutions to the Cauchy problem for a nonlinear wave equation
... GLOBAL CLASSICAL SOLUTIONS TO THE CAUCHY PROBLEM FOR A NONLINEAR WAVE EQUATION.. Universidade Federal Fluminense Instituto de MatemAtica- GAN.[r] ...
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Existence of Periodic Solution for a Nonlinear Fractional Differential Equation
... the solution of nonlinear fractional order differential equations used in the modeling of viscoplasticity,” in Scientifice Computing in Chemical Engineering II-Computational Fluid Dynamics, Reaction ...
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Non Scattering of the Solution of the Nonlinear Schrödinger Equation on the Torus
... DOI: 10.4236/jamp.2017.59162 1922 Journal of Applied Mathematics and Physics [5] Colliander, J., Keel, M., Staffilani, G., Takaoka, H. and Tao, T. (2010) Transfer of Energy to High Frequencies in the Cubic Defocusing ...
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