Numerical investigation of variable‐order fractional Benjamin–Bona–Mahony–Burgers equation using a pseudo‐spectral method
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7297
Abstract: This article introduces a new local variable‐order (VO) fractional differentiation called the VO conformable fractional derivative. This derivative is employed to define the VO time fractional Benjamin–Bona–Mahony–Burgers (BBMB) equation. A pseudo‐spectral algorithm using the Chebyshev… read more here.
Keywords: order fractional; bona mahony; benjamin bona; method ... See more keywords
Backward Controller of a Pullback Attractor for Delay Benjamin-Bona-Mahony Equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-019-09450-9
Abstract: A new concept called backward controller for an evolution process is introduced, which is the minimal compact set controlling all fibers of the pullback attractor in the past. The existence criteria are established by using… read more here.
Keywords: bona mahony; benjamin bona; attractor; backward controller ... See more keywords
Soliton solutions of (3 + 1)-dimensional Korteweg-de Vries Benjamin–Bona–Mahony, Kadomtsev–Petviashvili Benjamin–Bona–Mahony and modified Korteweg de Vries–Zakharov–Kuznetsov equations and their applications in water waves
Sign Up to like & getrecommendations! Published in 2019 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2017.02.004
Abstract: Abstract In this article, the analytical solution of (3 + 1)-dimensional Korteweg-de Vries Benjamin–Bona–Mahony equation, Kadomtsev–Petviashvili Benjamin–Bona–Mahony equation and modified Korteweg-de Vries–Zakharov–Kuznetsov equation have been extracted. These results hold numerous traveling wave solutions that are of key… read more here.
Keywords: bona mahony; benjamin bona; korteweg vries; vries benjamin ... See more keywords
On the soliton solutions to the modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson models and its applications
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DOI: 10.1016/j.jksus.2018.03.019
Abstract: Abstract In this article, the analytical solutions for modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson equations have been extracted with the help of very simple transformation. These results hold numerous traveling wave solutions that are of key… read more here.
Keywords: bona mahony; solutions modified; benjamin bona; coupled drinfel ... See more keywords
Travelling wave solutions and conservation laws for the Korteweg-de Vries-Bejamin-Bona-Mahony equation
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DOI: 10.1016/j.rinp.2017.10.041
Abstract: Abstract In this work we study the Korteweg-de Vries-Benjamin-Bona-Mahony (KdV-BBM) equation, which describes the two-way propagation of waves. Using Lie symmetry method together with Jacobi elliptic function expansion and Kudryashov methods we construct its travelling… read more here.
Keywords: bona mahony; travelling wave; korteweg vries; conservation laws ... See more keywords
Traveling wave solutions for the fractional Wazwaz–Benjamin–Bona–Mahony model in arising shallow water waves
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DOI: 10.1016/j.rinp.2020.103725
Abstract: Abstract In this manuscript, we employed an extended modified auxiliary equation mapping (EMAEM) method to the 3D fractional Wazwaz-Benjamin-Bona-Mahony equation (WBBM) with the help of computer symbolic computing system. By using this technique, we get… read more here.
Keywords: wazwaz benjamin; bona mahony; fractional wazwaz; benjamin bona ... See more keywords
Sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: A comparative analysis
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DOI: 10.1016/j.rinp.2021.104171
Abstract: Abstract In this paper, we interrogate the optical soliton solutions of three-dimensional fractional Wazwaz Benjamin Bona Mahony (WBBM) equation. With a new auxiliary equation scheme, we form the solitary wave solitons of the considered model.… read more here.
Keywords: fractional wazwaz; fractional derivatives; bona mahony; benjamin bona ... See more keywords
New Exact Soliton Solutions of the ( 3 + 1 )-Dimensional Conformable Wazwaz–Benjamin–Bona–Mahony Equation via Two Novel Techniques
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DOI: 10.1155/2021/4659905
Abstract: In this work, the ( 3 + 1 )-dimensional Wazwaz–Benjamin–Bona–Mahony equation is formulated in the sense of conformable derivative. Two novel methods of generalized Kudryashov and exp − φ ℵ are investigated to obtain various… read more here.
Keywords: bona mahony; benjamin bona; wazwaz benjamin; mahony equation ... See more keywords
Distribution of energy in propagation for ocean extreme wave generation in hydrodynamics laboratory
Sign Up to like & getrecommendations! Published in 2022 at "Global Journal of Environmental Science and Management"
DOI: 10.22034/gjesm.2022.01.02
Abstract: BACKGROUND AND OBJECTIVES: The hydrodynamic uncertainty of the ocean is the reason for testing marine structures as an initial consideration. This uncertainty has an impact on the natural structure of the topography as well as… read more here.
Keywords: propagation; hydrodynamics; bona mahony; benjamin bona ... See more keywords