Shallow Water Wave Equation
Quasi periodic wave solutions and asymptotic behavior for an extended \((2+1)\) dimensional shallow water wave equation
... bilinear equation due to the appear- ance of two functions and two ...the shallow water wave equation can be used to describe the propagation of ocean waves in shallow ...
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Exact Traveling Wave Solutions for the System of Shallow Water Wave Equations and Modified Liouville Equation Using Extended Jacobian Elliptic Function Expansion Method
... In this work, an extended Jacobian elliptic function expansion method is proposed for construct- ing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its ...
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Projective structure and integrable geodesic flows on the extension of Bott Virasoro group
... Motivation of the paper. This paper is focused on a wide class of N-component systems of nonlinear evolution equations with a hierarchy of compatible Hamiltonian structures. The compatible Hamiltonian structures are ...
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Solving Variable Coefficient Korteweg-de Vries Equation Using Pseudospectral Method
... vKdV equation has been studied by El et ...unidirectional shallow-water wave propagation over uneven bottom configuration where the water depth changes rapidly and slowly, following ...
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Hamiltonian Formulation for Water Wave Equation
... Laplace’s equation and the boundary conditions at the surface and ...for water waves. Zakharov [3] showed that the water elevation and the potential at the free surface are canonical variables when ...
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Mathematical modeling for tsunami waves using lattice boltzmann method
... The purpose of this research is to use the Lattice Boltzmann method (LBM) to solve Seismic (Earthquake) and Tsunami waves modelling and to provide a more accurate value of actual data. This work will evaluate, using ...
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Darboux Transformation and New Multi Soliton Solutions of the Whitham Broer Kaup System
... in shallow water wave is very important, such as Korteweg-de Vries (KdV) equation [1] [2], Kadomtsev-Petviashvili (KP) equation [3] [4], Boussinesq equation [5] [6], ...
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Brief communication: Modulation instability of internal waves in a smoothly stratified shallow fluid with a constant buoyancy frequency
... surface wave packets only arises for sufficiently deep water, “rogue” in- ternal waves may occur in shallow water and intermediate depth ...
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Nonlinear random wave field in shallow water: variable Korteweg-de Vries framework
... (irregular) wave fields in basins of a variable depth is analyzed within the shallow water approximation in the framework of the variable- coefficient Korteweg-de Vries ...the wave state ...
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Study of Physics-Based preconditioning with High-order Galerkin discretization for hyperbolic wave problems
... Numerical problem Implicit schemes make use of the inversion of a linear system through iterative solvers (exact solvers being too greedy for 2D or 3D problems). However, waves’ speeds may correspond to different scales ...
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The dynamic properties of solutions for a nonlinear shallow water equation
... nonlinear shallow water equation is established. The wave-breaking mechanisms, global existence, and infinite propagation speed of solutions to the equation are derived under certain ...
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The Exact Rational Solutions to a Shallow Water Wave Like Equation by Generalized Bilinear Method
... bilinear equation by Maple symbolic computation and generate four classes of rational solutions to the resulting Shallow Water Wave-like ...
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Modeling of Urban Flood in Xiamen Island, China
... two-dimensional shallow water equations, in which the MacCormack scheme ...shock wave, thus need to introduce artificial ...and Equation (4), taking X direction as an ...
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The global stabilization of the Camassa-Holm equation with a distributed feedback control
... 6. Yin, ZY: On the Cauchy problem for an integrable equation with peakon solutions. Ill. J. Math. 47, 649-666 (2003) 7. Constantin, A: On the scattering problem for the Camassa-Holm equation. Proc. R. Soc. ...
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Orbital Stability of Peakons for a Generalized Camassa Holm Equation
... This equation arises from shallow water waves theory [1] [2] and provides a wave breaking model for a large class of solutions in which the wave slope blows up in a finite time while ...
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The optimal control problem with necessity condition for a viscous shallow water equation
... solitary wave structures but also investi- gated their interactions analytically with ε = 0 and numerically with small viscosity ε = ...generalized shallow water equa- tion with a viscous term, which ...
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Nonlinear long-wave deformation and runup in a basin of varying depth
... ear shallow-water ...approaching wave as a wave of weak (but finite) ...incident wave in the form of a nonlinear deformed wave as presented in ...neglect wave reflection ...
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A systematic series of experimental wash wave measurements for high speed displacement monohull and catamaran forms in shallow water
... experimental wave cuts are presented in Figures 3 to ...a water depth of 400mm and Figures 73 to 153 present the experimental data for a water depth of ...experimental wave cuts for Models 5s ...
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Multiple Solutions for the Riemann Problem in the Porous Shallow Water Equations
... The Shallow water Equations are widely used to study urban flooding events. These hyperbolic partial differential equations are non-linear, and admit the existence of discontinuities (moving bores, standing ...
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Stability of solitary traveling waves of moderate amplitude with non-zero boundary
... The following are some results on the existence and stability of solitary waves for (.). Geyer [] showed the existence of solitary traveling wave solutions for (.) and captured some qualitative features of ...
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