Results 41 to 50 of about 99,243 (193)

On a nonlinear nonlocal hyperbolic system modeling suspension bridges

, 2015
We suggest a new model for the dynamics of a suspension bridge through a system of nonlinear nonlocal hyperbolic differential equations. The equations are of second and fourth order in space and describe the behavior of the main components of the bridge:
Arioli, Gianni, Gazzola, Filippo
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The Extended Hyperbolic Function Method for Generalized Forms of Nonlinear Heat Conduction and Huxley Equations

Journal of Applied Mathematics, 2012
The extended hyperbolic function method is used to derive abundant exact solutions for generalized forms of nonlinear heat conduction and Huxley equations.
Yong Huang, Yadong Shang
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Asymptotic integration of systems of two wave equations with small parameter

Lietuvos Matematikos Rinkinys, 2016
In this article we consider a hyperbolic system of two weakly nonlinear equations. Coefficients of the equations and initial conditions are periodical functions of the space variable.
Aleksandras Krylovas
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On hyperbolized nonlinear Schredinger type equations

Journal of Physics: Conference Series, 2019
Abstract A nonlinear Schredinger type equation in the case of an unbounded in space operator having, a non-divergent form, is considered. A new approach based on the hyperbolization procedure is suggested. The possibilities of the method proposed are tested.
A.D. Yunakovsky, Ya.L. Bogomolov, N.V. Sapogova   +2 more
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A functional analytic approach towards nonlinear dissipative well-posed systems [PDF]

, 2004
The aim of this paper is to develop a functional analytic approach towards nonlinear systems. For linear systems this is well known and the resulting class of well-posed and regular linear systems is well studied.
Jacob, Birgit, Zwart, Hans
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An Efficient Numerical Approach for Solving Nonlinear Coupled Hyperbolic Partial Differential Equations with Nonlocal Conditions

Abstract and Applied Analysis, 2014
One of the most important advantages of collocation method is the possibility of dealing with nonlinear partial differential equations (PDEs) as well as PDEs with variable coefficients.
A. H. Bhrawy, M. A. Alghamdi, Eman S. Alaidarous   +2 more
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Pure Traveling Wave Solutions for Three Nonlinear Fractional Models

Advances in Mathematical Physics, 2021
Three nonlinear fractional models, videlicet, the space-time fractional 1+1 Boussinesq equation, 2+1-dimensional breaking soliton equations, and SRLW equation, are the important mathematical approaches to elucidate the gravitational water wave mechanics,
Qinjun Li, Danyal Soybaş, Onur Alp Ilhan, Gurpreet Singh, Jalil Manafian   +4 more
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Oscillation of Nonlinear Hyperbolic Differential Equations with Impulses [PDF]

Nonlinear Oscillations, 2004
We study oscillatory properties of solutions of nonlinear impulsive hyperbolic differential equations and find new necessary and sufficient conditions for the existence of oscillations.
Anping Liu, Xiao, L., Mengxing He
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Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G

Advances in Mathematical Physics, 2022
In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G.
Daba Meshesha Gusu, Chala Bulo
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Exact Travelling Wave Solutions of Some Nonlinear Nonlocal Evolutionary Equations

, 2004
Direct algebraic method of obtaining exact solutions to nonlinear PDE's is applied to certain set of nonlinear nonlocal evolutionary equations, including nonlinear telegraph equation, hyperbolic generalization of Burgers equation and some spatially ...
Barannyk, Dodd, E.V. Kutafina, Fan, Makarenko, Nikitin, Olver, V.A. Vladimirov, Vladimirov   +8 more
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