Results 261 to 270 of about 10,797 (309)

Rigorous construction and classification of solitary-waves and exact soliton configurations in the nonlinear coupled Maccari system. [PDF]

Sci Rep
Hussain A, Khalel NJ, Oğul B, Al-Sinan BR, Thaqfan AA, Aly ES, Ibrahim TF.   +6 more
europepmc   +1 more source

Exploring complex phenomena in fluid flow and plasma physics via the Schrödinger-type Maccari system. [PDF]

Sci Rep
Abbas N, Hussain A, Ibrahim TF, D Alanazi F, Oğul B, Aly ES, Herrera J.   +6 more
europepmc   +1 more source

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Local solutions for a nonlinear degenerate Hyperbolic equation

Nonlinear Analysis: Theory, Methods & Applications, 1986
The author investigates local solutions for the initial-boundary value problem associated to the nonlinear degenerated hyperbolic equation of the type \(u_{tt}-M(\int_{\Omega}| \nabla u|^ 2dx)\Delta u=0,\) which comes from the mathematical description of the vibrations of an elastic stretched string.
L A Medeiros, M Milla Miranda
exaly   +2 more sources

Continuous Dependence for the Damped Nonlinear Hyperbolic Equation

Mathematical and Computational Applications, 2011
This paper gives the continuous dependence of solutions for the damped nonlinear hyperbolic ...
Metin Yaman, Sevket Gur
exaly   +2 more sources

Nonlinear Schrödinger Equation and the Hyperbolization Method

Computational Mathematics and Mathematical Physics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multiscale homogenization of nonlinear hyperbolic-parabolic equations

Applications of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dehamnia, Abdelhakim, Haddadou, Hamid
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Nonlinear hyperbolic volterra integrodifferential equations

Nonlinear Analysis: Theory, Methods & Applications, 1996
The well posedness of the abstract Cauchy problem \[ u'(t) = Au(t) + \int^t_{t_0} K \bigl( t,s,u(s) \bigr) ds + f(t), \quad u(t_0) = u_0 \] is studied, \(A\) denoting a linear Hille-Yosida operator in the Banach space \((X,II \cdot II)\). The paper consists of different Sections, and includes the proof of various theorems. The last Section refers to an
Nagel, Rainer, Sinestrari, Eugenio
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Oscillation Properties of Nonlinear Hyperbolic Equations

SIAM Journal on Mathematical Analysis, 1984
The authors derive a number of new oscillation criteria for hyperbolic equations. First of all, three theorems are proved, giving sufficient conditions for oscillation of solutions of the characteristic initial value problem \[ (2.2)\quad u_{xy}+c(x,y,u)=f(x,y),\quad u_ x(x,0)=g(x),\quad u_ y(0,y)=h(y), \] in an unbounded region contained in the ...
Kreith, Kurt, Kusano, Takaŝi, Yoshida, Norio   +2 more
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On a Nonlinear Hyperbolic Volterra Equation

SIAM Journal on Mathematical Analysis, 1980
We study questions of existence, boundedness and asymptotic behavior of the solutions of the initial value problem \[(*)\qquad \begin{array}{*{20}c} {u_t (t,x) - \int_0^t {a (t - s)\sigma (u_x (s,x))_x = f(t,x),\quad 0 < t < \infty ,\quad x \in R.} } \\ {u(0,x) = u_0 (x),\quad x \in R.} \\ \end{array} \] Here $a:R^ + = [0,\infty ) \to R,\sigma :R \to R,
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CENTERED DIFFERENCE SCHEMES FOR NONLINEAR HYPERBOLIC EQUATIONS

Journal of Hyperbolic Differential Equations, 2004
A hierarchy of centered (non-upwind) difference schemes is identified for solving hyperbolic equations. The bottom of the hierarchy is the classical Lax–Friedrichs scheme, which is the least accurate in computation, and the top of the hierarchy is the FORCE scheme, which is the optimal scheme in the family.
Chen, Gui-Qiang, Toro, Eleuterio F.
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