Results 1 to 10 of about 3,171,507 (251)
Baxter Equation for Quantum Discrete Boussinesq Equation [PDF]
Nuclear Physics B, 2001 Studied is the Baxter equation for the quantum discrete Boussinesq equation. We explicitly construct the Baxter $\mathcal{Q}$ operator from a generating function of the local integrals of motion of the affine Toda lattice field theory, and show that it ...
Antonov +47 more
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Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2006 We construct new integrable coupled systems of N = 1 supersymmetric equations and present integrable fermionic extensions of the Burgers and Boussinesq equations. Existence of infinitely many higher symmetries is demonstrated by the presence of recursion
Arthemy V. Kiselev, Thomas Wolf
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Higher Order Modulation Equations for a Boussinesq Equation [PDF]
SIAM Journal on Applied Dynamical Systems, 2002 In order to investigate corrections to the common KdV approximation to long waves, we derive modulation equations for the evolution of long wavelength initial data for a Boussinesq equation.
C. Eugene Wayne +3 more
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Dissipative Boussinesq equations [PDF]
Comptes Rendus. Mécanique, 2007 The classical theory of water waves is based on the theory of inviscid flows. However it is important to include viscous effects in some applications. Two models are proposed to add dissipative effects in the context of the Boussinesq equations, which include the effects of weak dispersion and nonlinearity in a shallow water framework.
Dutykh, Denys, Dias, Fr��d��ric
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Novel Solutions of Perturbed Boussinesq Equation
Journal of Mathematical Sciences and Modelling, 2022 In this article, we have worked on the perturbed Boussinesq equation. We have applied the generalized Kudryashov method (GKM) and sine-Gordon expansion method (SGEM) to the perturbed Boussinesq equation. So, we have obtained some new soliton solutions of
Şeyma Tülüce Demiray, Uğur Bayrakcı
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Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation
Advances in Mathematical Physics, 2021 The Painlevé integrability of the higher-order Boussinesq equation is proved by using the standard Weiss-Tabor-Carnevale (WTC) method. The multisoliton solutions of the higher-order Boussinesq equation are obtained by introducing dependent variable ...
Bo Ren
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Results in Physics, 2023 According to the tools of linear algebra and calculus of variations, the conservation laws of Boussinesq and generalized Kadomtsev–Petviashvili (gKP) equations are investigated using multipliers and scaling methods. Using the Euler–Lagrange operator, the
Mehdi Jafari +3 more
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Discrete Boussinesq-type equations [PDF]
, 2021 45 pages, to appear in the CRC press book "Nonlinear Systems and Their Remarkable Mathematical Structures, Vol.
Hietarinta Jarmo, Zhang Da-jun
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Journal of Mathematics, 2022 The (2 + 1)-dimensional Boussinesq equation is considered in this study. Nonlocal symmetries of the (2 + 1)-dimensional Boussinesq equation are obtained by means of the truncated Painlevé expansion.
Sixing Tao
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Journal of Hydroinformatics, 2022 Hybrid finite analytic solution (HFAS), Galerkin's method based finite element solution (FES) and fully implicit finite difference solution (FIFDS) of one dimensional nonlinear Boussinesq equation and Analytical solution of Boussinesq equation linearized
Ashutosh Upadhyaya, Manisha M. Kankarej
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