Results 191 to 200 of about 3,171,507 (251)

The Boussinesq equation revisited

Physica D: Nonlinear Phenomena, 2002
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Bogdanov, L. V., Zakharov, V. E.
openaire   +1 more source

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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Bäcklund transformation, rogue wave solutions and interaction phenomena for a $$\varvec{(3+1)}$$ ( 3 + 1 ) -dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation

Nonlinear Dynamics, 2018
Xue-Wei Yan, Shou-Fu Tian, Li Zou
exaly   +2 more sources

Novel high‐order breathers and rogue waves in the Boussinesq equation via determinants

Mathematical methods in the applied sciences, 2019
By virtue of the bilinear method and the Kadomtsev–Petviashvili (KP) hierarchy reduction technique, wider classes of high‐order breather and semirational and rogue wave solutions to the Boussinesq equation are derived.
Yunkai Liu, Biao Li, A. Wazwaz
semanticscholar   +1 more source

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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Constructing lump solutions to a generalized Kadomtsev–Petviashvili–Boussinesq equation

Nonlinear Dynamics, 2016
Xing Lü, Shou-Ting Chen, W. Ma
exaly   +2 more sources

Auxiliary equation method for ill-posed Boussinesq equation

Physica Scripta, 2019
This paper comprises the extraction of many new general exact soliton solutions of the ill-posed Boussinesq equation, which has a number of applications in mathematical physics, by employing auxiliary equation method.
Sadaf Bibi, N. Ahmed, U. Khan, S. Mohyud-Din   +3 more
semanticscholar   +1 more source

Hölder continuous solutions Of Boussinesq equations

Acta Mathematica Scientia, 2018
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Tao, Tao, Zhang, Liqun
openaire   +2 more sources