Results 41 to 50 of about 1,885 (105)

General Solution of the Rayleigh Equation for the Description of Bubble Oscillations Near a Wall [PDF]

, 2018
We consider a generalization of the Rayleigh equation for the description of the dynamics of a spherical gas bubble oscillating near an elastic or rigid wall. We show that in the non–dissipative case, i.e.
D. Podgainy, Dmitry Sinelshchikov, Doinikov, Doinikov, Gh. Adam, Ivan Garashchuk, J. Buša, Kudryashov, Kudryashov, Kudryashov, M. Hnatič, Nikolay Kudryashov, Plesset   +12 more
core   +1 more source

Solitary traveling wave solutions of pressure equation of bubbly liquids with examination for viscosity and heat transfer

Results in Physics, 2018
In this research, we investigate one of the most popular model in nature and also industrial which is the pressure equation of bubbly liquids with examination for viscosity and heat transfer which has many application in nature and engineering ...
Mostafa M.A. Khater, Aly R. Seadawy, Dianchen Lu   +2 more
doaj   +1 more source

On Completely Integrability Systems of Differential Equations

, 2010
In this note we discuss the approach which was given by Wazwaz for the proof of the complete integrability to the system of nonlinear differential equations. We show that his method presented in [Wazwaz A.M.
Ablowitz, Gardner, Hirota, Korteweg, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Lax, Muraved, Nikolay A. Kudryashov, Parkes, Parkes, Parkes, Parkes, Parkes, Popovych, Satsuma, Sinelshchikov, Wazwaz, Wazwaz, Wazwaz, Wazwaz, Zabuski   +30 more
core   +1 more source

On the integrability of Liénard I-type equations via λ-symmetries and solvable structures [PDF]

, 2018
Para ecuaciones de Liénard de tipo I se demuestra la existencia de una familia de lambda-simetrías tal que cualquiera de ellas permite el cálculo por cuadraturas de una primera integral de la ecuación dependiente del tiempo.
Muriel Patino, María Concepción, Ruiz Serván, Adrián   +1 more
core   +1 more source

POLYNOMIAL AND RATIONAL WAVE SOLUTIONS OF KUDRYASHOV-SINELSHCHIKOV EQUATION AND NUMERICAL SIMULATIONS FOR ITS DYNAMIC MOTIONS

, 2020
Polynomial and rational wave solutions of Kudryashov-Sinelshchikov equation and numerical simulations for its dynamic motions are investigated. Conservation flows of the dynamic motion are obtained utilizing multiplier approach. Using the unified method,
Turgut Ak, M. S. Osman, A. Kara
semanticscholar   +1 more source

Retrieval of the optical soliton solutions of the perturbed Schrödinger–Hirota equation with generalized anti‐cubic law nonlinearity having the spatio‐temporal dispersion

Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2164-2178, 30 January 2025.
In this study, we obtained optical soliton solutions of the perturbed nonlinear Schrödinger–Hirota equation with generalized anti‐cubic law nonlinearity in the presence of spatio‐temporal dispersion. This equation models the propagation of optical pulses in fiber optic cables.
Ismail Onder, Aydin Secer, Muslum Ozisik, Mustafa Bayram   +3 more
wiley   +1 more source

A Class of Solitary and Periodic Wave Structures Related to a Dual‐Mode Benjamin‐Bona‐Mahony Equation in Fluid Flow

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This study presents the Benjamin‐Bona‐Mahony equation, a new mathematical model for nonlinear wave propagation in medium with just spatial dispersion. The suggested model only considers spatial derivatives, hence representing pure spatial dispersion, in contrast to the traditional formulation that incorporates mixed space‐time derivatives in its ...
Saima Arshed, Minal Irshad, Mustafa Bayram, Nauman Raza, Sina Etemad, Mohammad Rezwan Habib   +5 more
wiley   +1 more source

Exact solutions of equations for the Burgers hierarchy

, 2011
Some classes of the rational, periodic and solitary wave solutions for the Burgers hierarchy are presented.
Benton, Burgers, Cole, Dmitry I. Sinelshchikov, Fahmy, Gudkov, Heremant, Hopf, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Malfliet, Nikolai A. Kudryashov, Olver, Polyanin, Rosenblatt, Shanga, Wang, Wazwaz, Weiss, Yang   +23 more
core   +1 more source

Equivalence group for generalized Kudryashov-Sinelshchikov equations of second order [PDF]

, 2020
Orientador: Yuri Dimitrov BozhkovTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação CientíficaResumo: Nesta tese calculamos o grupo de equivalência contínuo para a equação generalizada de Kudryashov ...
Londoño Duque, Oscar Mario, 1979-
core  

Dynamical Structure of the Soliton Solution of M‐Fractional (2 + 1)‐Dimensional Heisenberg Ferromagnetic Spin Chain Model Through Advanced exp(−ϕ(ξ))‐Expansion Schemes in Mathematical Physics

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this piece of work, we give the particular traveling wave answers for the truncated time M‐fractional (2 + 1)‐Heisenberg ferromagnetic spin chain model that is researched by executing the advanced exp (−φ(ξ)) expansion technique. In order to reconnoiter such dynamics, the advanced exp(−φ(ξ)) expansion method integrates the truncated time M ...
Sakhawat Hossain, M. M. Rahman, Md. Habibul Bashar, Shimul Biswas, Md Mamunur Roshid, Tudor Barbu   +5 more
wiley   +1 more source