Results 11 to 20 of about 659,155 (253)
Multiple soliton and M-lump waves to a generalized B-type Kadomtsev–Petviashvili equation [PDF]
In this study, we focus on the (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili (gBKP) equation in fluid dynamics, which is useful for modeling weakly dispersive waves transmitted in quasi media and fluid mechanics.
Hajar F. Ismael +4 more
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Multiple Lump Solutions of the (4+1)-Dimensional Fokas Equation
In this paper, we investigate multiple lump wave solutions of the new (4+1)-dimensional Fokas equation by adopting a symbolic computation method. We get its 1-lump solutions, 3-lump solutions, and 6-lump solutions by using its bilinear form.
Hongcai Ma, Yunxiang Bai, Aiping Deng
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Construction of lump soliton and mixed lump stripe solutions of (3+1)-dimensional soliton equation
In this letter, we apply two different ansatzs for constructing the lump soliton and mixed lump strip solutions of (3+1)-dimensional soliton equation, which is associating with the Hirota bilinear form.
Jiangen Liu, Yufeng Zhang
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Revealing homoclinic breather waves, periodic lump waves and other waves forms of an integrable reduced spin Hirota-Maxwell-Bloch system. [PDF]
In this manuscript, we investigate various wave forms of an integrable reduced spin Hirota-Maxwell-Bloch system, which accounts for the femtosecond pulses transmitted in an erbium doped fibre.
Ceesay B +4 more
europepmc +2 more sources
Multi-lump formations from lump chains and plane solitons in the KP1 equation
We show that complex higher-order lump patterns can be constructed in two different ways within the Kadomtsev–Petviashvili equation which describes nonlinear wave processes in media with positive dispersion. In the first approach, we start with solutions
Yang, Xiangyu +4 more
core +1 more source
Dynamics of lump-periodic and breather waves solutions with variable coefficients in liquid with gas bubbles [PDF]
Lump solutions are empirical rational function solutions found in all directions in space. One of the essential solutions to both linear and nonlinear partial differential equations is lump solutions.
Sulaiman, Tukur Abdulkadir +1 more
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In this paper, the lumps with their interactions (lump-single and lump-double stripes), and breather wave solutions are constructed to the new integrable (2 + 1)-dimensional Boussinesq equation via the Hirota bilinear method.
Md. Nuruzzaman, Dipankar Kumar
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This study uses the Hirota bilinear method and Maple, a symbolic computation program, to derive lump solutions for a new integrable (3 + 1)-dimensional Boussinesq equation and its dimensionally reduced equations.
Shao-Wen Yao +4 more
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A "lump-sum sickness aid benefit (slimības palīdzības pabalsts)" was provided during the closure of ECEC settings and ...
Mary Daly (14105283) +2 more
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This paper studies the dynamics of shallow water waves with the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq (gKP–Boussinesq) equation arising in fluid mechanics.
Gour Chandra Paul +2 more
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