Results 21 to 30 of about 3,171,507 (251)
The Super W_3 Conformal Algebra and the Boussinesq Hierarchy [PDF]
, 1993 The bihamiltonian structure of the N=2 Supersymmetric Boussinesq equation is found. It is not reduced to the corresponding classical structure and hence it describes the pure supersymmetric effect.
Popowicz, Ziemowit
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General Rogue Waves in the Boussinesq Equation [PDF]
Journal of the Physical Society of Japan, 2019 We derive general rogue wave solutions of arbitrary orders in the Boussinesq equation by the bilinear Kadomtsev-Petviashvili (KP) reduction method. These rogue solutions are given as Gram determinants with $2N-2$ free irreducible real parameters, where ...
Bo Yang, Jianke Yang
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Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation
Abstract and Applied Analysis, 2013 We study a nonlinear evolution partial differential equation, namely, the (2+1)-dimensional Boussinesq equation. For the first time Lie symmetry method together with simplest equation method is used to find the exact solutions of the (2+1)-dimensional ...
Letlhogonolo Daddy Moleleki +1 more
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Results in Physics, 2017 The Boussinesq equation with dual dispersion and modified Korteweg–de Vries–Kadomtsev–Petviashvili equations describe weakly dispersive and small amplitude waves propagating in a quasi three-dimensional media.
Kalim Ul-Haq Tariq, A.R. Seadawy
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Construction of Analytic Solution for Time-Fractional Boussinesq Equation Using Iterative Method
Advances in Mathematical Physics, 2015 This paper is aimed at constructing analytical solution for both linear and nonlinear time-fractional Boussinesq equations by an iterative method.
Fei Xu, Yixian Gao, Weipeng Zhang
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Advances in Mathematical Physics, 2014 We analyze the (3+1)-dimensional Boussinesq equation, which has applications in fluid mechanics. We find exact solutions of the (3+1)-dimensional Boussinesq equation by utilizing the Lie symmetry method along with the simplest equation method.
Letlhogonolo Daddy Moleleki +1 more
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Results in Physics, 2021 A new three dimensional nonlinear dynamic theoretical model is derived from fluid mechanics system. In this paper, From the quasi-geostrophic barotropic potential vorticity equation, we obtain a three dimensional dissipative Boussinesq equation by the ...
Liguo Chen +3 more
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Constructions of the soliton solutions to the good Boussinesq equation
Advances in Differential Equations, 2020 The principal objective of the present paper is to manifest the exact traveling wave and numerical solutions of the good Boussinesq (GB) equation by employing He’s semiinverse process and moving mesh approaches.
M. Almatrafi, A. Alharbi, C. Tunç
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Boussinesq equations: M-fractional solitary wave solutions and convergence analysis
Journal of Ocean Engineering and Science, 2019 The studies of the dynamics behaviors of nonlinear models arising in ocean engineering play a significant role in our daily activities. This study investigates the nonlinear fractional modified Boussinesq equation and the fractional bad Boussinesq ...
Tukur Abdulkadir Sulaiman, Hasan Bulut
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Advances in Mathematical Physics, 2021 Based on the extended homogeneous balance method, the auto-Ba¨cklund transformation transformation is constructed and some new explicit and exact solutions are given for the fourth-order nonlinear generalized Boussinesq water wave equation.
Cheng Chen, Zuolei Wang
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