Results 71 to 80 of about 567 (108)

Exact solutions of the Kudryashov-Sinelshchikov equation by modified exp-function method [PDF]

International Mathematical Forum, 2013
Yinghui He, Shaolin Li, Yao Long
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A variety of soliton solutions of time M-fractional: Non-linear models via a unified technique. [PDF]

PLoS One
Roshid MM, Rahman MM, Roshid HO, Bashar MH.   +3 more
europepmc   +1 more source

Existence results for the Kudryashov–Sinelshchikov–Olver equation

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020
AbstractThe Kudryashov–Sinelshchikov–Olver equation describes pressure waves in liquids with gas bubbles taking into account heat transfer and viscosity. In this paper, we prove the existence of solutions of the Cauchy problem associated with this equation.
Coclite, Giuseppe Maria, Di Ruvo, Lorenzo   +1 more
openaire   +2 more sources

Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation

Journal of Hyperbolic Differential Equations, 2022
The fifth-order Kudryashov–Sinelshchikov–Olver equation is a nonlinear partial differential equation, which describes the interactions between short waves and long waves. Here, we prove the global existence of solutions for the Cauchy problem associated with this equation.
Coclite, Giuseppe Maria, Di Ruvo, Lorenzo   +1 more
openaire   +3 more sources

Local conservation laws, symmetries, and exact solutions for a Kudryashov‐Sinelshchikov equation

Mathematical Methods in the Applied Sciences, 2017
In this paper, we consider a Kudryashov‐Sinelshchikov equation that describes pressure waves in a mixture of a liquid and gas bubbles taking into consideration the viscosity of liquid and the heat transfer between liquid and gas bubbles. We show that this equation is rich in conservation laws. These conservation laws have been found by using the direct
M. S. Bruzón, E. Recio, R. de la Rosa, M. L. Gandarias   +3 more
openaire   +4 more sources

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Cnoidal waves governed by the Kudryashov–Sinelshchikov equation

Physics Letters, Section A: General, Atomic and Solid State Physics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manfred Braun
exaly   +2 more sources

Equivalence group for generalized Kudryashov-Sinelshchikov equations of second order

AIP Conference Proceedings, 2019
The equivalence group for a class of nonlinear evolution partial differential equations, generalizing the second order Kudryashov-Sinelshchikov equation which describes pressure waves in liquid with bubbles, is calculated. Then a preliminary group classification of the equations in the considered class is obtained.
Yu. D. Bozhkov, S. Dimas, O. M. L. Duque
openaire   +2 more sources

Traveling wave solutions and conservation laws of a generalized Kudryashov–Sinelshchikov equation

Journal of Applied Analysis, 2019
Abstract Kudryashov and Sinelshchikov proposed a nonlinear evolution equation that models the pressure waves in a mixture of liquid and gas bubbles by taking into account the viscosity of the liquid and the heat transfer. Conservation laws and exact solutions are computed for this underlying equation.
Ben Muatjetjeja, Abdullahi Rashid Adem
exaly   +2 more sources

On group analysis, conservation laws and exact solutions of time-fractional Kudryashov–Sinelshchikov equation

Computational and Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P Prakash
exaly   +3 more sources

Some Exact Solutions of the Kudryashov–Sinelshchikov Equation Using Point Transformations

International Journal of Applied and Computational Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A H Abdel Kader, M S Abdel Latif, H M Nour   +2 more
exaly   +2 more sources