Results 181 to 190 of about 3,171,507 (251)
Some of the next articles are maybe not open access.
The integrable Boussinesq equation and it’s breather, lump and soliton solutions
Nonlinear Dynamics, 2022Sachin Kumar +2 more
exaly +2 more sources
Fractals, 2023
The [Formula: see text]-dimensional Boussinesq equation plays a key role in modeling the shallow water. In this work, we derive a new fractional [Formula: see text]-dimensional Boussinesq equation based on the conformable fractional derivative for the ...
Kangkang Wang +4 more
semanticscholar +1 more source
The [Formula: see text]-dimensional Boussinesq equation plays a key role in modeling the shallow water. In this work, we derive a new fractional [Formula: see text]-dimensional Boussinesq equation based on the conformable fractional derivative for the ...
Kangkang Wang +4 more
semanticscholar +1 more source
Mathematical methods in the applied sciences, 2021
Yu‐Lan Ma, et al. (Mathematical Methods in the Applied Sciences, 2019,42(1)) make outstanding contributions for the soliton solutions of the generalized fourth‐order Boussinesq equation, which is used to describe the wave motion in fluid mechanics.
Kangkang Wang, Guo‐Dong Wang
semanticscholar +1 more source
Yu‐Lan Ma, et al. (Mathematical Methods in the Applied Sciences, 2019,42(1)) make outstanding contributions for the soliton solutions of the generalized fourth‐order Boussinesq equation, which is used to describe the wave motion in fluid mechanics.
Kangkang Wang, Guo‐Dong Wang
semanticscholar +1 more source
EXACT TRAVELING-WAVE SOLUTION FOR LOCAL FRACTIONAL BOUSSINESQ EQUATION IN FRACTAL DOMAIN
Fractals, 2017 The new Boussinesq-type model in a fractal domain is derived based on the formulation of the local fractional derivative. The novel traveling wave transform of the non-differentiable type is adopted to convert the local fractional Boussinesq equation ...
Xiao-Jun Yang, Dumitru Baleanu
exaly +2 more sources
N-solitons, breathers and rogue waves for a generalized Boussinesq equation
International Journal of Computational Mathematics, 2020A particular attention is paid on a generalized nonlinear Boussinesq equation which can be used to describe the wave dynamics in fluids. Via symbolic computation method, analytical N-soliton solutions, three types of breather solutions (namely, Kuznetsov-
Yu‐Lan Ma
semanticscholar +1 more source
Linearization of the Boussinesq equation and the modified Boussinesq equation
Physics Letters A, 1982Abstract 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
openaire +1 more source
Applied Mathematics and Computation, 2018
Construct fractional order model to describe Rossby solitary waves can provide more pronounced effects and deeper insight for comprehending generalization and evolution of Rossby solitary waves in stratified fluid.
Changna Lu, Chen Fu, Hongwei Yang
semanticscholar +1 more source
Construct fractional order model to describe Rossby solitary waves can provide more pronounced effects and deeper insight for comprehending generalization and evolution of Rossby solitary waves in stratified fluid.
Changna Lu, Chen Fu, Hongwei Yang
semanticscholar +1 more source
Bilinearization of the non-local Boussinesq equation
Journal of Physics A: Mathematical and General, 1995Summary: 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. +2 more
openaire +2 more sources
Physica Scripta, 2018
This paper analyzes a new form of the (3 + 1) dimensional generalized Kadomtsev–Petviashvili (KP)–Boussinesq equation for exploring lump solutions by making use of its Hirota bilinear form. The sufficient and necessary conditions for assuring analyticity,
L. Kaur, A. Wazwaz
semanticscholar +1 more source
This paper analyzes a new form of the (3 + 1) dimensional generalized Kadomtsev–Petviashvili (KP)–Boussinesq equation for exploring lump solutions by making use of its Hirota bilinear form. The sufficient and necessary conditions for assuring analyticity,
L. Kaur, A. Wazwaz
semanticscholar +1 more source