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Exact solutions of (2 + 1)‐dimensional Schrödinger's hyperbolic equation using different techniques
Numerical Methods for Partial Differential Equations, 2020In this paper, we derive new optical soliton solutions to (2 + 1)‐dimensional Schrödinger's hyperbolic equation using extended direct algebraic method and new extended hyperbolic function method.
H. Rehman, M. Imran, N. Ullah, A. Akgül
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Compact difference scheme for two‐dimensional fourth‐order nonlinear hyperbolic equation
Numerical Methods for Partial Differential Equations, 2020High‐order compact finite difference method for solving the two‐dimensional fourth‐order nonlinear hyperbolic equation is considered in this article. In order to design an implicit compact finite difference scheme, the fourth‐order equation is written as
Qing Li, Qing Yang, Huanzhen Chen
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Mathematical methods in the applied sciences, 2020
In this paper, the p‐Laplacian hyperbolic type equation with logarithmic nonlinearity and weak damping term are considered, where the global existence of solutions by using the potential well method is discussed.
E. Pişkin, S. Boulaaras, Nazlı Irkıl
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In this paper, the p‐Laplacian hyperbolic type equation with logarithmic nonlinearity and weak damping term are considered, where the global existence of solutions by using the potential well method is discussed.
E. Pişkin, S. Boulaaras, Nazlı Irkıl
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Mathematical methods in the applied sciences, 2019
In this article, we primarily focuses to study the order‐reduction for the classical natural boundary element (NBE) method for the two‐dimensional (2D) hyperbolic equation in unbounded domain.
Fei Teng, Zhengdong Luo, Jing Yang
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In this article, we primarily focuses to study the order‐reduction for the classical natural boundary element (NBE) method for the two‐dimensional (2D) hyperbolic equation in unbounded domain.
Fei Teng, Zhengdong Luo, Jing Yang
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2008
Abstract This chapter is an introduction to hyperbolic equations. The topic is of central importance in general relativity since the Einstein evolution equations are themselves essentially hyperbolic as are the equations of motion of many of the matter fields frequently used. The qualification ‘essentially’ is explained in Chapter 9.
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Abstract This chapter is an introduction to hyperbolic equations. The topic is of central importance in general relativity since the Einstein evolution equations are themselves essentially hyperbolic as are the equations of motion of many of the matter fields frequently used. The qualification ‘essentially’ is explained in Chapter 9.
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Chaotic Vibration of a Two-dimensional Non-strictly Hyperbolic Equation
Canadian mathematical bulletin, 2018The study of chaotic vibration for multidimensional PDEs due to nonlinear boundary conditions is challenging. In this paper, we mainly investigate the chaotic oscillation of a two-dimensional non-strictly hyperbolic equation due to an energy-injecting ...
Liangliang Li, Jing Tian, Goong Chen
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2003
Abstract Hyperbolic equations are the easiest scalar second-order equations to classify from the point of view of the Cauchy problem. They occur commonly in practical applications, as is evident from studying the models of Chapter 2.
John Ockendon +3 more
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Abstract Hyperbolic equations are the easiest scalar second-order equations to classify from the point of view of the Cauchy problem. They occur commonly in practical applications, as is evident from studying the models of Chapter 2.
John Ockendon +3 more
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Inverse Problems for the Loaded Parabolic-Hyperbolic Equation Involves Riemann–Liouville Operator
Lobachevskii Journal of Mathematics, 2023O. Abdullaev, T. Yuldashev
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