Results 1 to 10 of about 2,627,124 (242)
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 equation.
Sevket Gur, Metin Yaman
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Demonstratio Mathematica, 2023 In this research work, we proposed a Haar wavelet collocation method (HWCM) for the numerical solution of first- and second-order nonlinear hyperbolic equations. The time derivative in the governing equations is approximated by a finite difference.
Lei Weidong +4 more
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Asymptotic Behavior of Solutions to the Damped Nonlinear Hyperbolic Equation
Journal of Applied Mathematics, 2013 We consider the Cauchy problem for the damped nonlinear hyperbolic equation in n-dimensional space. Under small condition on the initial value, the global existence and asymptotic behavior of the solution in the corresponding Sobolev spaces are obtained ...
Yu-Zhu Wang
semanticscholar +4 more sources
Novel Complex Wave Solutions of the (2+1)-Dimensional Hyperbolic Nonlinear Schrödinger Equation
Fractal and Fractional, 2020 This manuscript focuses on the application of the (m+1/G′)-expansion method to the (2+1)-dimensional hyperbolic nonlinear Schrodinger equation. With the help of projected method, the periodic and singular complex wave solutions to the considered model ...
Esin Ilhan, Hasan Bulut, Hulya Durur
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A Universal Asymptotic Regime in the Hyperbolic Nonlinear Schrödinger Equation [PDF]
SIAM Journal on Applied Mathematics, 2017 The appearance of a fundamental long-time asymptotic regime in the two space one time dimensional hyperbolic nonlinear Schrödinger (HNLS) equation is discussed. Based on analytical and extensive numerical simulations an approximate self-similar solution is found for a wide range of initial conditions -- essentially for initial lumps of small to ...
Mark Ablowitz +2 more
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Extended hyperbolic function method for the (2 +1)-dimensional nonlinear soliton equation
Results in Physics, 2022 Mansour F Yassen +2 more
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A uniqueness result for a nonlinear hyperbolic equation
Annali Di Matematica Pura Ed Applicata, 1984 Franco Tomarelli, Lucia Gastaldi
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Lobachevskii Journal of Mathematics, 2021 This work is devoted to study the existence and uniqueness of solution of an analogue of the Gellerstedt problem with nonlocal assumptions on the boundary and integral gluing conditions for the parabolic-hyperbolic type equation with nonlinear terms and ...
T. Yuldashev, O. Abdullaev
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Local existence and global nonexistence theorems for a damped nonlinear hyperbolic equation
Journal of Mathematical Analysis and Applications, 2010 Shubin Wang, Guowang Chen
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Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equations [PDF]
Inverse Problems, 2021 The main aim of this paper is to solve an inverse source problem for a general nonlinear hyperbolic equation. Combining the quasi-reversibility method and a suitable Carleman weight function, we define a map of which fixed point is the solution to the ...
L. Nguyen, M. Klibanov
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