Results 31 to 40 of about 10,797 (309)

The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation

Results in Physics
Due to the importance of the nonlinear partial differential equations in applied physics and engineering, many mathematicians and physicists are interesting to the nonlinear partial differential equations.
Jianping Li, Can Xu, Junliang Lu
doaj   +1 more source

Study on Optimal Conventional Triaxial Strength Criterion of Rock Based on Gauss-Newton Method [PDF]

E3S Web of Conferences
Conventional triaxial strength criteria are used widely to judge the rock failure states. In this paper, the nonlinear least squares method (Guass-newton method) is used to fit the regression relationships between the maximum principal stress σ1 as well ...
Tian Mengtao, Guo Baohua, Zhang Zhezhe, Zhu Chuangwei, Zhong Pengbo   +4 more
doaj   +1 more source

Solvability of Nonlinear Wave Equation with Nonlinear Integral Neumann Conditions

International Journal of Analysis and Applications, 2023
In this paper, we examine a nonlinear hyperbolic equation with a nonlinear integral condition. In particular, we prove the existence and the uniqueness of the linear problem by the Fadeo Galerkin method, and by applying an iterative process to some ...
Iqbal M. Batiha, Zainouba Chebana, Taki-Eddine Oussaeif, Adel Ouannas, Iqbal H. Jebril, Mutaz Shatnawi   +5 more
doaj   +1 more source

Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs

, 2007
This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
core   +1 more source

The numerical solution of the nonlinear hyperbolic-parabolic heat equation

Discrete and Continuous Models and Applied Computational Science
The article discusses a mathematical model and a finite-difference scheme for the heating process of an infinite plate. The disadvantages of using the classical parabolic heat equation for this case and the rationale for using the hyperbolic heat ...
Vladislav N. Khankhasaev, Safron A. Bairov   +1 more
doaj   +1 more source

Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion Method

Journal of Applied Mathematics, 2013
This paper is concerned with a double nonlinear dispersive equation: the Sharma-Tasso-Olver equation. We propose an improved G′/G-expansion method which is employed to investigate the solitary and periodic traveling waves of this equation.
Yinghui He, Shaolin Li, Yao Long
doaj   +1 more source

The regularization of spectral methods for hyperbolic Volterra integrodifferential equations with fractional power elliptic operator

Nonlinear Engineering, 2023
In this study, a numerical approach is presented to solve the linear and nonlinear hyperbolic Volterra integrodifferential equations (HVIDEs). The regularization of a Legendre-collocation spectral method is applied for solving HVIDE of the second kind ...
Mirzaei G. F., Rostamy Davood
doaj   +1 more source

On nonlinear Schrödinger equations on the hyperbolic space

Journal of Mathematical Analysis and Applications, 2020
We study existence of weak solutions for certain classes of nonlinear Schrödinger equations on the Poincaré ball model $\mathbb{B}^N$, $N\geq 3$. By using the Palais principle of symmetric criticality and suitable group theoretical arguments, we establish the existence of a nontrivial (weak) solution.
Matija Cencelj, István Faragó, Róbert Horváth, Dušan D. Repovš   +3 more
openaire   +6 more sources

Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]

, 2009
This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A., Robinson, James C., CARVALHO, Alexandre N., Carvalho, Alexandre Nolasco de   +3 more
core   +1 more source

The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations

Alexandria Engineering Journal, 2020
The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation and Schrodinger equation. We perform a new method to take some new solitary wave phenomena for each equation.
Md Nur Alam, Cemil Tunç
doaj   +1 more source