Results 11 to 20 of about 665,380 (279)
Extended trial equation method to generalized nonlinear partial differential equations
Applied Mathematics and Computation, 2013 In this article, we give the extended trial equation method for solving nonlinear partial differential equations with higher order nonlinearity. By use of this method, the exact traveling wave solutions including soliton solution, singular soliton solutions, rational function solution and elliptic integral function solution to one-dimensional general ...
Gurefe, Yusuf +3 more
openaire +6 more sources
Dispersive optical solitons with Schrödinger–Hirota equation by extended trial equation method [PDF]
Optik, 2017 Abstract This paper obtains bright, dark and singular soliton solutions from perturbed Schrodinger–Hirota equation that governs the propagation of dispersive pulses through optical fibers. The trial equation method is adopted to achieve this goal. Both Kerr and power laws of nonlinearity are covered.
Mehmet Ekici +8 more
exaly +5 more sources
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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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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Teknologi dan Kejuruan, 2009 There are some techniques in calculating the reguler-changed flows, for instance the equation of standard phase that uses trial and error calculations . Some method then is developed from Newton-Raphson method, namely SECANT method.
Pribadi Pribadi
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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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Optical solitons and envelop propagation patterns in birefringent polarization-preserving fiber
Results in Physics, 2019 The optical propagation in the birefringence polarization-preserving fiber is modeled by the nonlinear Schrödinger equations system including the effect of four-wave mixing. A general trial equation method for complex coupled system is introduced to give
Si-Yu Du
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Results in Physics, 2019 We firstly apply the trial equation method to generalized (2+1)-dimensional Gardner equation to reduce the nonlinear partial differential equation into ordinary equation.
Yue Kai +3 more
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Journal of Taibah University for Science, 2022 The nonlinear conformable fractional Schrödinger–Hirota (NCFSH) equation, describing the propagation of optical solitons in a dispersive optical fibre, is considered and its exact solutions are investigated.
Meryem Odabasi Koprulu
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New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod
Results in Physics, 2018 This paper examines the effectiveness of an integration scheme which called the extended trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial differential equations (PDEs).
Aly R. Seadawy, Jalil Manafian
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