Results 211 to 220 of about 3,171,507 (251)

Multiple Soliton Solutions of the Boussinesq Equation

Physica Scripta, 2005
Summary: 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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Boussinesq Equations in Geophysics

2013
Boussinesq systems of nonlinear partial differential equations are fundamental equations in geophysical fluid dynamics. In this chapter, we use asymmetric ideas and moving frames to solve two-dimensional Boussinesq equations with partial viscosity terms and three-dimensional stratified rotating Boussinesq equations.
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Nonlocal problems for Boussinesq equations

Nonlinear Analysis, 2016
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Boussinesq's equation on the circle

Physica D: Nonlinear Phenomena, 1981
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solutions of the Boussinesq equation

Physica D: Nonlinear Phenomena, 1986
The rational solutions of the Boussinesq equation (mainly those which decay to zero when x goes to infinity) are studied. The solution is written in terms of a function which is assumed to have a polynomial form, and the coefficients are computed. It is interesting to emphasize that rational solutions exist only for some value of maximal degree of the ...
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Dirichlet problem for the Boussinesq–Love equation

Differential Equations, 2016
The author proves the unique solvability of the following Dirichlet problem for the Boussinesq-Love equation: \[ u_{xxyy} - u_{yy} + u_{xx} = 0. \eqno{(1)} \] Solutions \(u(x, y)\in C^{2,2}(D) \cap C^{1,0}(D\cup p) \cap C^{0,1}(D \cup q) \cap C^{0,0}(\overline{D})\) of the equation (1) in \(D ...
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New analytical study of water waves described by coupled fractional variant Boussinesq equation in fluid dynamics

Pramana (Bangalore), 2019
M S Osman
semanticscholar   +1 more source

Three-wave interactions in a more general (2+1)-dimensional Boussinesq equation

The European Physical Journal Plus, 2020
Dan Zhao, Zhaqilao
semanticscholar   +1 more source

Boussinesq Equation

2012
Graham W. Griffiths, William E. Schiesser   +1 more
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Painlevé Analysis, Bäcklund Transformation and Soliton Solutions of the (2+1)-dimensional Variable-coefficient Boussinesq Equation

International Journal of Theoretical Physics
Liang-Li Zhang, Xing Lü, Sheng-Zhi Zhu
semanticscholar   +1 more source