Boussinesq Equation
Existence and nonexistence of solutions for a generalized Boussinesq equation
... The Cauchy problem for a generalized Boussinesq equation is investigated. The existence and uniqueness for the local solution and global solution of the problem are established under certain conditions. ...
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On the exact solutions of a modified Kortweg de Vries type equation and higher order modified Boussinesq equation with damping term
... In this paper, we studied two nonlinear partial differential equations that appear in a vari- ety of scientific fields. These are the modified Kortweg de Vries equation and the higher- order modified Boussinesq ...
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Asymptotic behavior of solutions of the damped Boussinesq equation in two space dimensions
... the Boussinesq equation admits both right- and left-running wave solutions while the well-known Korteweg- de-Vries one governs waves traveling in only one ...
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Existence of periodic traveling wave solutions to the generalized forced Boussinesq equation
... forced Boussinesq equation, u tt −u xx +[f (u)] xx + u xxxx = h 0 , and its periodic traveling wave solutions are ...the equation is converted to a nonlinear ordinary differential equation with ...
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Solitary wave propagation and interactions for a sixth order generalized Boussinesq equation
... the Boussinesq-type equation (see ...“bad” Boussinesq equation (BaBE) as the sign in front of the fourth-order derivative yields unpleasant numerical features [2, ...improved Boussinesq ...
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On the Instability of a Class of Periodic Travelling Wave Solutions of the Modified Boussinesq Equation
... This paper is concerned with instability of periodic travelling wave solutions of the modified Boussinesq equation. Periodic travelling wave solutions with a fixed fundamental period L will be constructed ...
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Singular traveling wave solutions for Boussinesq equation with power law nonlinearity and dual dispersion
... the Boussinesq equation with power law nonlinearity and dual dispersion ...fractional Boussinesq equation or general- ized Boussinesq systems, readers can refer to [15–20] for ...
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The k = 1 Finite Element Numerical Solution for the Improved Boussinesq Equation
... improved Boussinesq equation is solved with classical finite element method using the most basic Lagrange element k = 1, which leads us to a second order nonlinear ordinary differential equations system in ...
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Solution of singular one dimensional Boussinesq equation by using double conformable Laplace decomposition method
... fractional Boussinesq equation [11]. The space-time frac- tional Boussinesq equations in Caputo sense derivatives are studied by using the homo- topy perturbation method ...
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Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy
... In this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. By using the improved convexity method combined with Fourier ...
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Solitary and Periodic Wave Solutions of the Fourth Order Boussinesq Equation Through the Novel Exponential Expansion Method
... evolution equation by choosing appropriate values of the physical ...the Boussinesq equation for some special values of additional free parameters as follows: ...
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Classification of Single Traveling Wave Solutions to the Generalized Strong Nonlinear Boussinesq Equation without Dissipation Terms in P = 1
... There are many methods of obtaining the exact solutions for nonlinear evolution equations, such as the homo- geneous balance method [1], the inverse scattering method [2], Hirotas bilinear transformation [3], the ...
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The fractional Boussinesq equation of groundwater flow and its applications
... In addition to the application and continual analysis of the BE (Bear, 1972; Barenblatt et al., 2000; Abdellaoui et al., 2015; Telyakovskiy et al., 2016), over the past twenty years or so various forms of the fractional ...
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Well posedness of the stochastic Boussinesq equation driven by Levy processes
... the Boussinesq equa- tion as a two-dimensional coupled system of Navier–Stokes equations and temperature- dependent transport equations can be used to describe the oceanic gravity currents [3, ...stochastic ...
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The Basic (G'/G) Expansion Method for the Fourth Order Boussinesq Equation
... differential equation, namely, the fourth order Boussinesq equation involving parameters via the G G -expansion ...differential equation with constant coefficients is ...
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Existence and Orbital Stability of Cnoidal Waves for a 1D Boussinesq Equation
... In order to prove the stability of periodic solutions for the Benney-Luke equation, we have to establish existence and uniqueness of mild solutions in an appropriate space for the Cauchy problem associated with ...
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Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation
... In this case trajectories of the system (9) are bounded, since the potential function F in the equation (10) is a polynomial of order four and the coefficient of x 4 1 is positive. It is easy to see that the only ...
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A Compact Finite Difference Schemes for Solving the Coupled Nonlinear Schrodinger Boussinesq Equations
... In this paper we are going to derive two numerical methods for solving the coupled nonlinear Schrodinger-Boussinesq equation. The first method is a nonlinear implicit scheme of second order accuracy in both ...
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Modelling and simulation of waves in three-layer porous media
... dispersive Boussinesq equation has been derived for surface wave propagation in three-layer porous ...The equation reduces to the Boussinesq equa- tion for one-layer porous media recorded in ...
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Multiple soliton solutions for the variant Boussinesq equations
... movement equation which is applicable to mesoscale and quasi- incompressible fluid movement, which means important physical applications in hydro- ...The Boussinesq equation also is of considerable ...
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