Results 31 to 40 of about 3,989 (142)
A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations
Electronic Journal of Differential Equations, 1998 We formulate a multi-scale perturbation technique to asymptotically solve weakly nonlinear hyperbolic equations. The method is based on a set of scaled characteristic coordinates.
Chirakkal V. Easwaran
doaj
Filtration in porous rock with initial deposit [PDF]
E3S Web of Conferences, 2019 The problems of underground fluid mechanics play an important role in the design and preparation for the construction of tunnels and underground structures. To strengthen the insecure soil a grout solution is pumped under pressure in the porous rock. The
Osipov Yuri, Galaguz Yuri
doaj +1 more source
Bounded solutions of nonlinear hyperbolic equations with time delay
Electronic Journal of Differential Equations, 2018 We consider the initial value problem $$\displaylines{ \frac{d^{2}u}{dt^{2}}+Au(t)=f(u(t),u(t-w)), \quad t>0, \cr u(t)=\varphi (t),\quad -w\leq t\leq 0 }$$ for a nonlinear hyperbolic equation with time delay in a Hilbert space with the self adjoint
Allaberen Ashyralyev, Deniz Agirseven
doaj
International Journal of Mathematics and Mathematical Sciences, 2020 In this article, we utilize the G′/G2-expansion method and the Jacobi elliptic equation method to analytically solve the (2 + 1)-dimensional integro-differential Jaulent–Miodek equation for exact solutions.
Supaporn Kaewta +2 more
doaj +1 more source
Научный вестник МГТУ ГА, 2018 The applicability of the V. Lychagin "manual" integration method is analyzed with respect to systems of two quasilinear hyperbolic differential equations of the first order with two independent variables t, x and two unknown functions u = u (t, x) and v =
A. A. Gorinov
doaj +1 more source
Numerical solution to nonlinear Tricomi equation using WENO schemes
Electronic Journal of Differential Equations, 2010 Nonlinear Tricomi equation is a hybrid (hyperbolic-elliptic) second order partial differential equation, modelling the sonic boom focusing. In this paper, the Tricomi equation is transformed into a hyperbolic system of first order equations, in ...
Adrian Sescu +2 more
doaj
Shear waves in a nonlinear elastic cylindrical shell [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаAsymptotic integration methods have been used to model the propagation of a shear wave beam along a nonlinear-elastic cylindrical shell of the Sanders – Koiter model. The shell is assumed to be made of a material characterized by a cubic dependence
Zemlyanukhin, Alexandr Isaevich +2 more
doaj +1 more source
Numerical simulation of multilane traffic flow model based on exponential velocity-density function
Partial Differential Equations in Applied MathematicsIn this paper, we study a multilane traffic flow model incorporating the exponential velocity-density relationship, which yields a nonlinear first-order system of hyperbolic partial differential (PDEs) equations formulated as an initial-boundary value ...
Md Rasel Ahmed +4 more
doaj +1 more source
Global solvability of a mixed problem for a singular semilinear hyperbolic 1d system
Математичні СтудіїUsing the method of characteristics and the Banach fixed point theorem (for the Bielecki metric), in the paper it is established the existence and uniqueness of a global (continuous) solution of the mixed problem in the rectangle $\Pi=\{(x,t)\colon ...
V. M. Kyrylych, O. V. Peliushkevych
doaj +1 more source
Analytical solutions and implications for hydrodynamics and nonlinear optics
AIP AdvancesThis article discusses the generalization of time-fractional conformable mathematical models for studying the Estevez–Mansfield–Clarkson (EMC) equation of solutions.
Nauman Ahmed +4 more
doaj +1 more source