Results 41 to 50 of about 4,854,822 (190)
International Journal of Applied Mechanics and Engineering, 2015 A nonlinear spectral transport equation for the narrow band Gaussian random surface wave trains is derived from a fourth order nonlinear evolution equation, which is a good starting point for the study of nonlinear water waves.
D.P. Majumder, A.K. Dhar
doaj +1 more source
Journal 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
Exact solutions of modified Zakharov–Kuznetsov equation by the homogeneous balance method
Ain Shams Engineering Journal, 2014 In this article, the homogeneous balance method is used to construct exact traveling wave solutions for the modified Zakharov–Kuznetsov equation using the Riccati equation.
M. Eslami +2 more
doaj +1 more source
Evolution equation for nonlinear Lucassen waves [PDF]
The Journal of the Acoustical Society of America, 2019 A nonlinear, fractional, surface-wave equation was developed recently by Kappler et al. [Phys. Rev. Fluids 2, 114804 (2017)] for propagation along an elastic interface coupled to a viscous incompressible medium. Linear theory for attenuation and dispersion of such a wave was developed originally by Lucassen [Trans. Faraday Soc.
Blake E. Simon +2 more
openaire +1 more source
Time-dependent global attractor of the nonlinear evolution equation with nonlinear damping
四川大学学报. 自然科学版, 2017 In this article, we consider the long-time behavior of solutions for the nonlinear evolution equation with nonlinear damping. Within the theory of process on time-dependent spaces, by using the contractive functions and more detailed estimates, we prove ...
LIU Ting-Ting, MA Qiao-Zhen
doaj
Ain Shams Engineering JournalNonlinear evolution equations have been found to be useful in modeling complicated wave dynamics in a wide range of applications, including fluid dynamics, nonlinear optics, plasma physics, and other fields of applied sciences.
Fozia Bashir Farooq +4 more
doaj +1 more source
Modeling Asymmetric Interactions in Economy
Mathematics, 2020 We consider a general nonlinear kinetic type equation that can describe the time evolution of a variable related to an economical state of an individual agent of the system. We assume asymmetric interactions between the agents.
Mirosław Lachowicz, Henryk Leszczyński
doaj +1 more source
Alexandria Engineering Journal, 2022 The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun +4 more
doaj +1 more source
ITM Web of Conferences, 2018 In this study, the (2+1)-dimensional cubic nonlinear Schrödinger equation with fractional temporal evolution is investigated by using the extended sinh-Gordon equation expansion method.
Atas Sibel Sehriban +2 more
doaj +1 more source
A New Integrable Nonlinear Evolution Equation [PDF]
Progress of Theoretical Physics, 1980 Summary: We show that a new integrable nonlinear evolution equation \(iq_ t+(q/\sqrt{1+| q| ^ 2})_ {xx}=0\) is solved exactly by the inverse scattering method. From the Gelfand-Levitan equation, a one-soliton solution is obtained. It is found that a one-soliton solution has two interesting limits, a small amplitude soliton and a bursting soliton.
Shimizu, Toru, Wadati, Miki
openaire +2 more sources