Results 181 to 190 of about 3,173,665 (255)

New approach for fractional Schrödinger‐Boussinesq equations with Mittag‐Leffler kernel

Mathematical methods in the applied sciences, 2020
In this paper, we find the solution and analyse the behaviour of the obtained results for the nonlinear Schrödinger‐Boussinesq equations using q‐homotopy analysis transform method (q‐HATM) within the frame of fractional order.
D. G. Prakasha, N. S. Malagi, P. Veeresha   +2 more
semanticscholar   +1 more source

Linearization of the Boussinesq equation and the modified Boussinesq equation

Physics Letters A, 1982
Abstract A description in terms of one and the same inhomogeneous linear integral equation is proposed for the solutions of the Boussinesq equation and the modified Boussinesq equation. New similarity solutions of these equations are obtained, as well as two-parameter families of solutions of Painleve II and Painleve IV.
G.R.W. Quispel, F.W. Nijhoff, H.W. Capel
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Bilinearization of the non-local Boussinesq equation

Journal of Physics A: Mathematical and General, 1995
Summary: A single-field bilinear system generating the so-called non-local Boussinesq equation is constructed. From the bilinearization procedure it can be seen that the associated hierarchy of soliton systems which we construct shares part of the solution set of a hierarchy related to the Kadomtsev-Petviashvili equation.
Willox, R., Loris, Ignace, Springael, Johan   +2 more
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The Boussinesq equation revisited

Physica D: Nonlinear Phenomena, 2002
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Bogdanov, L. V., Zakharov, V. E.
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Searching For (2+1)-dimensional nonlinear Boussinesq equation from (1+1)-dimensional nonlinear Boussinesq equation

Communications in Theoretical Physics, 2023
Abstract A novel (2+1)-dimensional nonlinear Boussinesq equation is derived from a (1+1)-dimensional Boussinesq equation in nonlinear Schrödinger type based on a deformation algorithm. The integrability of the obtained (2+1)-dimensional Boussinesq equation is guaranteed by its Lax pair obtained directly from the Lax pair of the (1+1 ...
Man Jia, S Y Lou
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Exact Solutions of Extended Boussinesq Equations

Numerical Algorithms, 2004
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Hamdi, S., Enright, W. H., Ouellet, Y., Schiesser, W. E.   +3 more
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On Classical Boussinesq Equation

Journal of the Physical Society of Japan, 1982
The Classical Boussinesq equation has been taken into consideration for calculating the periodic wave solutions in terms of Jacobian cosine elliptic functions. A relation between the translation speed of the periodic wave and the maximum height of pulse is established. The linear and the solitary wave limits have also been discussed.
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Approximate Symmetries of the Boussinesq Equation

Quaestiones Mathematicae, 2003
In this paper we show that all exact symmetries of the linear wave equation are inherited by the Boussinesq type equation with a small parameter as approximate symmetries in any order of precision. We find an approximate integral­ differential transformation of any order of precision, which transforms the Boussinesq type equation into the linear wave ...
Baikov, V.A., Kordyukova, S.A.
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Hölder continuous solutions Of Boussinesq equations

Acta Mathematica Scientia, 2018
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Tao, Tao, Zhang, Liqun
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On the Well-Posedness of Stochastic Boussinesq Equations with Transport Noise

Journal of nonlinear science, 2018
The Boussinesq equations play a fundamental role in meteorology. Among other aspects, they aim to model the process of frontogenesis and describe large-scale atmospheric and oceanic flows.
Diego Alonso-Orán, Aythami Bethencourt de León   +1 more
semanticscholar   +1 more source