Results 21 to 30 of about 104,532 (267)

Solitary waves due to x(2):x(2) cascading [PDF]

, 1994
Solitary waves in materials with a cascaded x(2):x(2) nonlinearity are investigated, and the implications of the robustness hypothesis for these solitary waves are discussed. Both temporal and spatial solitary waves are studied.
Menyuk, Curtis, Schiek, Roland, Torner Sabata, Lluís   +2 more
core   +2 more sources

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

On scattering for NLS: from Euclidean to hyperbolic space [PDF]

, 2008
We prove asymptotic completeness in the energy space for the nonlinear Schrodinger equation posed on hyperbolic space in the radial case, in space dimension at least 4, and for any energy-subcritical, defocusing, power nonlinearity. The proof is based on
Banica, Valeria, Carles, Rémi, Duyckaerts, Thomas   +2 more
core   +5 more sources

Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations

Abstract and Applied Analysis, 2013
This paper is concerned with the variable coefficients mKdV (VC-mKdV) equation. First, through some transformation we convert VC-mKdV equation into the constant coefficient mKdV equation.
Xiaoxiao Zheng, Yadong Shang, Yong Huang
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

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

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
core   +1 more source

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

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

Optical solitons with an extended (3+1)-dimensional nonlinear conformable Schrödinger equation including cubic–quintic nonlinearity

Results in Physics, 2023
In this paper, we study the extended (3+1)-dimensional nonlinear conformable Schrödinger equation with cubic–quintic nonlinearity. We use three different methods to obtain exact solutions of this equation: the G′/G expansion method, the extended ...
Mohammad Mirzazadeh, A. Sharif, Mir Sajjad Hashemi, Ali Akgül, Sayed M. El Din   +4 more
doaj   +1 more source