Results 21 to 30 of about 13,925,367 (271)
The patterns of traveling wave on shallow water modeled by Green-Naghdi equation [PDF]
MATEC Web of Conferences, 2022 The Green-Naghdi equations are a shallow water waves model which play important roles in nonlinear wave fields. By using the trial equation method and the Complete discrimination system for the polynomial we obtained the classification of travelling wave
Wei Haitong
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Propagation of solitons in optical fibers with generalized Kudryashov’s refractive index
Results in Physics, 2021 The propagation of optical solitons in optical fibers with the generalized Kudryashov’s refractive index is described by a high order nonlinear Schrödinger equation.
Fan Sun
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Nonlinear Engineering, 2021 This article obtains optical solitons to the Biswas-Arshed equation for birefringent fibers with higher order dispersions and in the absence of four-wave mixing terms, in a media with Kerr type nonlinearity.
Tahir Muhammad +2 more
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Results in Physics, 2022 This paper secures exact solutions from perturbed complex Ginzburg–Landau equation that is taken into account with Kerr law and cubic–quintic–septic nonlinearity.
Ming-Yue Wang
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Mesh-based numerical implementation of the localized boundary-domain integral equation method to a variable-coefficient Neumann problem [PDF]
, 2005 An implementation of the localized boundary-domain integral-equation (LBDIE) method for the numerical solution of the Neumann boundary-value problem for a second-order linear elliptic PDE with variable coefficient is discussed.
Mikhailov, SE, Nakhova, IS
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Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data [PDF]
, 2013 We apply the trial method for the solution of Bernoulli’s free boundary problem when the Dirichlet boundary condition is imposed for the solution of the underlying Laplace equation and the free boundary is updated according to the Neumann boundary ...
Giannoula Mitrou +3 more
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Applying the meshless Fragile Points method to solve the two-dimensional linear Schrödinger equation on arbitrary domains [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 The meshless Fragile Points method (FPM) is applied to find the numerical solutions of the Schrödinger equation on arbitrary domains. This method is based on Galerkin’s weak-form formulation, and the generalized finite difference method has been used to ...
D. Haghighi, S. Abbasbandy, E. Shivanian
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Trial methods for Bernoulli's free boundary problem [PDF]
, 2014 Free boundary problems deal with solving partial differential equations in a domain, a part of whose boundary is unknown – the so-called free boundary. Beside the standard boundary conditions that are needed in order to solve the partial differential ...
Mitrou, Giannoula
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Results in Physics, 2023 In this paper, the cubic–quartic complex Ginzburg–Landau (CGL) equation is investigated by using the trial function method. The traveling wave hypothesis is applied to convert the CGL equation to an ordinary differential equation (ODE), which is ...
Chen Peng, Zhao Li
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Variational Principles for Two Compound Nonlinear Equations with Variable Coefficients [PDF]
Journal of Applied and Computational Mechanics, 2021 It is very important to seek explicit variational principles for nonlinear partial differential equations, which are theoretical bases for many methods to solve or analyze the nonlinear phenomena and problems.
Xiao-Qun Cao +4 more
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