three-dimensional wave equation
A Method for Solving the Three dimensional Wave Equation
... 1. On the basis of the locally one-dimensional scheme splitting, quasi-linearization and Laplace integral transform find an approximate analytical solution of a nonlinear hyperbolic equation of the second ...
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Vortex/inflectional-wave interactions with weakly three-dimensional input
... Rayleigh wave pairs and wave packets respectively is directly ...the wave amplitude is made sufficiently ...amplitude equation (an example of the cross-flow instability exhibiting similar ...
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Exact three wave solutions for the (3+1) dimensional Boiti Leon Manna Pempinelli equation
... 39. Darvishi, M, Najafi, M, Kavitha, L, Venkatesh, M: Stair and step soliton solutions of the integrable (2 + 1) and (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equations. Commun. Theor. Phys. 58, 785-794 ...
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Numerical modeling of 1-dimensional wave equation using finite modal synthesis
... Computer simulations are great at reflect scenarios and comparing it theoretically. There are three consequences that need to be followed in order to produce simulation model which are calibration, verification ...
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Localized energy estimates of the wave equation on higher dimensional hyperspherical Schwarzschild spacetimes
... R ). Ideally, we would like to choose f(r) such that in addition to this regularity condition, f (r) is bounded and all three terms in the integrand of the right hand side of (4.4) are non-negative. It appears, ...
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Analytical Treatment of the Evolutionary (1 + 1) Dimensional Combined KdV mKdV Equation via the Novel (G'/G) Expansion Method
... [22], three-wave method [23], extended homoclinic test approach [24], the improved F-expansion method [25], the projective Riccati equation method [26], and the Weirstrass elliptic function method ...
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A Study on FDM of Hyperbolic PDE in Comparative of Lax-Wendroff, Upwind, Leapfrog Methods on Numerical Analysis
... paper, three numerical methods have been used to solve a one dimensional one way wave equation and second order wave equation with specified initial and boundary ...one ...
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Travelling Wave Solutions for Three Dimensional Incompressible MHD Equations
... in three-dimensional Cartesian ...self-consistent three-dimensional exact solutions of the MHD equations and solved the basic nonlinear equation in terms of Jacobi elliptic ...obtained ...
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The Wave Equation and General Plane Wave Solutions in Fractional Space
... low dimensional systems ...low dimensional system which can have different degree of confinement in different orthogonal directions, ...1.8 dimensional, then it could be described as 1 + 0.8 ...
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THE MODIFIED KUDRYASHOV METHOD FOR THE CONFORMABLE TIME FRACTIONAL (3+1)- DIMENSIONAL KADOMTSEV-PETVIASHVILI AND THE MODIFIED KAWAHARA EQUATIONS
... (mKawahara) equation is a cubic non-linear equation with a fifth-order derivative ...the equation is suggested by Kawahara [12] with its steady ...mKawahara equation has implicit doubly ...
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Iterative three dimensional Helmholtz Equation solutions using the Wave Expansion Method
... Modelling sound propagation often can present difficult challenges due to compu tational demands. In general, the direct solutions of the system equations arising from the full field discretization of many ...
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Three dimensional Korteweg de Vries equation and traveling wave solutions
... where n is a positive integer. Motivated by the results obtained by Chen and Wen [2], the author look for the real-valued traveling wave solutions of the form U(ξ) = u(x,y,z,t) with ξ = ax + by + cz − ωt, where a, ...
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Three Dimensional Inverse Scattering for the Classical Wave Equation with Variable Speed
... THREE DIMENSIONAL INVERSE SCATTERING FOR THE CLASSICAL WAVE EQUATION WITH VARIABLE SPEED Margaret Cheney, James H.. Rose, and Brian DeFacio Department of Mathematics, Duke University, Du[r] ...
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LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION
... that equation (2) has all the topological and analytical properties of (1) (multiplicity, bifurcation diagram, etc) can be found in ...finite dimensional reduction (local method of Lyapunov-Schmidt) the ...
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On the Partial Differential Equations with Non-Constant Coefficients and Convolution Method
... line equation, also this equation satisfy the one dimensional wave ...of wave equation, wave propagation under moving load is considered in the present ...basic ...
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Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation
... nonlinear wave solutions are the cnoidal waves, solitons, solitary waves, shock waves, compactons, stumpons, covatons, cuspons, peakons propeller solitons and sev- eral many ...
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A new approach to solve the time dependent three dimensional advection diffusion equation applied to model air pollution dispersion in the planetary boundary layer
... advection-diffusion equation and make use of the same parameterizations and experimental ...stationary equation is solved analytically by integral ...
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Numerical Estimation of Traveling Wave Solution of Two Dimensional K dV Equation Using a New Auxiliary Equation Method
... u wave for different values of time t against ...u wave contour against t and ...the wave gradually increases. Figure 5(a) we found the u wave against t for different values of x while the ...
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Solitary Wave Solution of the Two Dimensional Regularized Long Wave and Davey Stewartson Equations in Fluids and Plasmas
... of Equation (1). Various solutions of Equation (4) were constructed using JEFs, and these re- sults were exploited in the design of a procedure for gen- erating solutions of ...
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An Efficient Direct Method to Solve the Three Dimensional Poisson’s Equation
... The aim of this paper is to develop a fourth order finite difference approximation schemes and the resulting large algebraic system of linear equations is treated system- aticcally in order to get a block tri-diagonal ...
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