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Higher order Boussinesq equations
Ocean Engineering, 1999A new form of Boussinesq-type equations accurate to the third order are derived in this paper to improve the linear dispersion and nonlinearity characteristics in deeper water. Fourth spatial derivatives in the third order terms of the equations are transformed into second derivatives and present no difficulty in numerical computations.
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Soliton Solution of Good Boussinesq Equation
Vietnam Journal of Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bifurcation solitons and breathers for the nonlocal Boussinesq equations
Applied Mathematics Letters, 2022Yu‐Lan Ma, Bangqing Li
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Numerical Solution of Boussinesq Equation
Journal of the Engineering Mechanics Division, 1976The Boussinesq equation is a mathematical model of unconfined ground-water flow. Since the equation is nonlinear, finite difference methods offer a possible technique for solutions. In this study, an extrapolated Crank-Nicolson finite difference scheme for one-dimensional Boussinesq equation with source and sink terms is described to model the flow ...
Sita Ram Singh, C.M. Jacob
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RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION
Analysis and Applications, 2008Rational solutions of the Boussinesq equation are expressed in terms of special polynomials associated with rational solutions of the second and fourth Painlevé equations, which arise as symmetry reductions of the Boussinesq equation. Further generalized rational solutions of the Boussinesq equation, which involve an infinite number of arbitrary ...
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Optimal decay for the 3D anisotropic Boussinesq equations near the hydrostatic balance
Calculus of Variations and Partial Differential Equations, 2022Ruihong Ji, Li Yan, Jiahong Wu
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Numerical Solutions of Fractional Boussinesq Equation
Communications in Theoretical Physics, 2007Summary: Based upon the Adomian decomposition method, a scheme is developed to obtain numerical solutions of a fractional Boussinesq equation with initial condition, which is introduced by replacing some order time and space derivatives by fractional derivatives. The fractional derivatives are described in the Caputo sense.
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Global dynamics of 2D boussinesq equations
Nonlinear Analysis: Theory, Methods & Applications, 1997The author presents abstract theorems for the existence of a global attractor, which is based on some abstract condition, providing asymptotic compactness of a dissipative semigroup in a Banach space. As an application of the abstract theorems the author studies the existence of a global solutions and global attractor for the solution semigroup of 2D ...
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Some Boussinesq Equations with Saturation
AIP Conference Proceedings, 2010We investigate numerically some Boussinesq type equations with square or cubic and saturated nonlinearity. We examine the propagation, interaction and overtake interaction of soliton solutions. Moreover, we examine the effect of the saturation term on the solution and compare it with the classical case of the square or cubic nonlinearity without ...
M. A. Christou +2 more
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Multiple Soliton Solutions of the Boussinesq Equation
Physica Scripta, 2005Summary: The Boussinesq equation can be considered as the first model for nonlinear dispersive wave prapagation. In the light of the principle of homogeneous balance and with the aid of some suitable transformations, the multiple soliton solutions of the Boussinesq equation are given.
Yu, Jun, Sun, Quanping, Zhang, Weijun
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