Results 21 to 30 of about 1,459,968 (190)

A non-linear hyperbolic equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
In this paper the following Cauchy problem, in a Hilbert space H, is considered: (I+λA)u″+A2u+[α+M(|A12u|2)]Au=fu(0)=u0u′(0 ...
Eliana Henriques de Brito
doaj   +1 more source

Weak Solutions for a Simple Hyperbolic System [PDF]

open access: yes, 2001
The model studied concerns a simple first-order hyperbolic system. The solutions in which one is most interested have discontinuities which persist for all time, and therefore need to be interpreted as weak solutions.
Lyne, Owen D., Williams, David S.
core   +1 more source

Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations

open access: yesJournal of Applied Mathematics, 2012
With the help of the generalized hyperbolic function, the subsidiary ordinary differential equation method is improved and proposed to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way.
Zeid I. A. Al-Muhiameed   +1 more
doaj   +1 more source

Reducing Residual Moveout for Long Offset Data in VTI Media Using Padé Approximation [PDF]

open access: yesE3S Web of Conferences, 2019
Modification of the hyperbolic travel time equation into non-hyperbolic travel time equation is important to increase the reduction residual moveout for long offset data.
Pratiwi Indah Nur   +2 more
doaj   +1 more source

The Cauchy problem for a system of the hyperbolic differential equations of the n-th order with the nonmultiple characteristics

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
In the paper the Cauchy problem is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The regular solution of the Cauchy problem for the hyperbolic differential equation of the n-th order with the ...
Aleksandr A Andreev, Julia O Yakovleva
doaj   +1 more source

Analysis of a conformable generalized geophysical KdV equation with Coriolis effect

open access: yesAlexandria Engineering Journal, 2023
In this manuscript, we study new solutions of generalized version of geophysical KdV equation which is called generalized perturbed KdV (gpKdV) under time–space conformable operator.
Sayed Saifullah   +5 more
doaj   +1 more source

Continuity of solutions of a quasilinear hyperbolic equation with hysteresis [PDF]

open access: yes, 2011
summary:This paper is devoted to the investigation of quasilinear hyperbolic equations of first order with convex and nonconvex hysteresis operator. It is shown that in the nonconvex case the equation, whose nonlinearity is caused by the hysteresis term,
Kordulová, Petra, Jana Kopfová
core   +1 more source

Quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equation

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2019
This paper applies the quasi hyperbolic function expansion method and the modified extended tanh-function method to exactly solve the nonlinear vibrating string equation and the elastic rod equation.
Yi Tian
doaj   +1 more source

ON GREEN’S FUNCTION OF DARBOUX PROBLEM FOR HYPERBOLIC EQUATION

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2021
It is well known that the Darboux problem for the hyperbolic equation is correct, both in the senseof classical and generalized solutions. An integral form of the solution of the Darboux problem ina characteristic triangle for a general two-dimensional ...
M. A. Sadybekov, B. Derbissaly
doaj   +1 more source

The bilinear neural network method for solving Benney–Luke equation

open access: yesPartial Differential Equations in Applied Mathematics
Benney–Luke equation, the estimation of water wave propagation on the water’s surface, is significantly important in studying the tension of water waves in physics.
Nguyen Minh Tuan   +3 more
doaj   +1 more source

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