Results 21 to 30 of about 84 (83)

Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in (3+1)-dimensions with gas bubbles in hydrodynamics and fluids

open access: yesJournal of Ocean Engineering and Science, 2023
Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific ...
Sachin Kumar   +2 more
doaj   +1 more source

Abundant closed-form wave solutions and dynamical structures of soliton solutions to the (3+1)-dimensional BLMP equation in mathematical physics

open access: yesJournal of Ocean Engineering and Science, 2022
The physical principles of natural occurrences are frequently examined using nonlinear evolution equations (NLEEs). Nonlinear equations are intensively investigated in mathematical physics, ocean physics, scientific applications, and marine engineering ...
Sachin Kumar, Amit Kumar
doaj   +1 more source

Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics

open access: yesJournal of Ocean Engineering and Science, 2022
The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar   +2 more
doaj   +1 more source

ON THE CONTROLLABILITY OF RACING SAILING BOATS WITH FOILS [PDF]

open access: yes, 2017
The development of foils for racing boats has changed the strategy of sailing. Recently, the America's cup held in San Francisco, has been the theatre of a tragicomic history due to the foils.
Caroline, Fabre, Destuynder, Philippe
core   +2 more sources

Homoclinic and heteroclinic solutions to a hepatitis C evolution model

open access: yesOpen Mathematics, 2018
Homoclinic and heteroclinic solutions to a standard hepatitis C virus (HCV) evolution model described by T. C. Reluga, H. Dahari and A. S. Perelson, (SIAM J. Appl. Math., 69 (2009), pp. 999–1023) are considered in this paper.
Telksnys Tadas   +4 more
doaj   +1 more source

Utilizing the extended tanh-function technique to scrutinize fractional order nonlinear partial differential equations

open access: yesPartial Differential Equations in Applied Mathematics, 2023
In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many complicated nonlinear behaviors can be pronounced using nonlinear ...
U.H.M. Zaman   +3 more
doaj   +1 more source

(Non)linear instability of periodic traveling waves: Klein–Gordon and KdV type equations

open access: yesAdvances in Nonlinear Analysis, 2014
We prove the existence and nonlinear instability of periodic traveling wave solutions for the critical one-dimensional Klein–Gordon equation. We also establish a linear instability criterium for a KdV type system.
Angulo Pava Jaime, Natali Fabio
doaj   +1 more source

Exact solutions for the ion sound Langmuir wave model by using two novel analytical methods

open access: yesResults in Physics, 2020
In the present paper, the system of equations for the ion sound and Langmuir waves (SEISLWs) is considered to obtain the new solitary wave solutions of the non-linear evolution equations. Here, we used the relatively two new analytical methods to achieve
A. Tripathy, S. Sahoo
doaj   +1 more source

Interaction Solutions of Long and Short Waves in a Flexible Environment

open access: yesAlexandria Engineering Journal, 2020
In this study, the new traveling wave solutions resulting from the interaction of the long-short wave system were obtained by using the exp-function method.
Tolga Akturk
doaj   +1 more source

Saturated Fronts in Crowds Dynamics

open access: yesAdvanced Nonlinear Studies, 2021
We consider a degenerate scalar parabolic equation, in one spatial dimension, of flux-saturated type. The equation also contains a convective term. We study the existence and regularity of traveling-wave solutions; in particular we show that they can be ...
Campos Juan   +2 more
doaj   +1 more source

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