SOLUTIONS TO THE ONE-DIMENSIONAL WAVE
Six wave systems in one dimensional wave turbulence
... the wave action spectrum to the KZ ...non-local wave action spectrum and if so, we are led to ask what non-local process determines this power law? The answer to this can be determined with a development of ...
189
Statistical properties of nonlinear one-dimensional wave fields
... nonlinear wave fields are investigated on a basis of direct hydrodynamical modeling of 1-D poten- tial periodic surface ...known solutions, and by comparison between the results obtained with different ...
19
Exact controllability for a one-dimensional wave equation with the fixed endpoint control
... of wave equations in a cylindrical ...of wave equations defined in non-cylindrical ...regular solutions of the mixed problem of the Kirchhoff nonlinear model for the hyperbolic-parabolic equation in ...
10
The Exact Solitary Wave Solutions in Continuity Equation of the One Dimensional Granular Crystals of Elastic Spheres
... the one-dimensional granular crystals of elastic spheres to a continuous equation by small defor- mation and long wave ...solitary wave solutions with arbitrary parameters are ...
7
Some new exact traveling wave solutions one dimensional modified complex Ginzburg- Landau equation
... exact solutions involving parameters of some nonlinear PDEs in mathematical physics; namely the one-dimensional modified complex Ginzburg- Landau equation by using the (G 0 /G) expansion method, ...
17
Wave propagation in steady stratified one-dimensional cylindrical waveguides
... spatial solutions are de- veloped, with boundary conditions given by various footpoint drivers, namely a monochromatic source, a delta function pulse, and a sinusoidal ...the wave perturbation and changes ...
12
Travelling Wave Solutions for Three Dimensional Incompressible MHD Equations
... One of the most prominent reasons for this difficulty is the phenomenon of fluid turbulence which again rears its head in MHD [9] [10]. In addition to the velocity field displaying disordered behavior the external ...
8
Modelling of Flood Wave Propagation with Wet-dry Front by One-dimensional Diffusive Wave Equation
... flood wave propa- gation over an initially dry area is ...diffusive wave equation (DWE) can be used. The diffusive wave approach requires numerical algorithms that are much simpler, and consequently, ...
15
THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION
... exact solutions to (2) by using the Cole-Hopf transforma- tion and one improved tanh-coth method in ...traveling wave solutions to the integrable equations (2) and (3) from the point of view ...
9
Some exact solutions in the one dimensional unsteady motion of a gas
... the wave equation as shown in figure XVIII* If we now take the point of view of the hydraulic analogy we see that the initial position of the water is that already Investigated in B 2 corresponding to the gas flow ...
147
The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws
... The organization of this paper is as follows. In Section , we describe the properties of wave curves and construct the Riemann solution. In Section , we consider the initial value problem with three constant ...
16
Periodic wave solutions of the two dimensional Toda lattice equation by a direct method
... their solutions are complicated with the help of a Riemann surface and the Abel-Jacobi ...exact solutions of nonlinear ...multisoliton solutions and rational solutions can be ...presented ...
14
Non Traveling Wave Solutions for the (2+1) Dimensional Breaking Soliton System
... non-traveling wave solutions of the (2+1)-dimensional breaking soliton system (1)-(2) are found out, and the traveling wave so- lutions are included by these non-traveling wave solu- ...
6
Iterative three dimensional Helmholtz Equation solutions using the Wave Expansion Method
... is any vector in k ^. The m ajor drawback to GMRES is th a t the amount of work and storage required per iteration rise hnearly with the iteration count. The com putational cost associ ated w ith using the solver will ...
155
Quasi periodic wave solutions and asymptotic behavior for an extended \((2+1)\) dimensional shallow water wave equation
... quasi-periodic wave solutions are constructed for an extended (2 + 1)-dimensional shallow water wave ...the one- and two-periodic wave solutions are presented, and the ...
12
General decay of solutions to a one-dimensional thermoelastic beam with variable coefficients
... second-order wave equation and the fourth-order Euler-Bernoulli beam equation ...of wave and plate equations by adding some types of damping, for example, internal damping, boundary damping, ther- mal ...
13
Finite Element Model for Linear Second Order One Dimensional Inhomogeneous Wave Equation
... Fig. 3 Comparison of FEM with Exact Solution 4. Results and Discussion In Table 1, a comparison of FEM solution with exact solution along with absolute errors is presented. It can be observed that computed values are ...
6
Waves and the One-Dimensional Wave Equation
... of wave equations and their solution is any mention of ...plane wave traverses any medium, all specific particle locations undergo simple harmonic motion as the wave passes ...the wave is ...
26
One-Dimensional Wave Patterns in Phase Transition Problems
... Wellposedness results: local and global existence results for initial value problem DFG-CNRS research group:.. Numerical solution by DG-method Talk by D.[r] ...
41
Complexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations
... long wave equa- tion is studied. The traveling wave hypothesis yields complexiton ...the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary ...
8