Results 21 to 30 of about 2,101 (185)
B\"acklund Transformations for First and Second Painlev\'e Hierarchies [PDF]
, 2009 We give B\"acklund transformations for first and second Painlev\'e hierarchies. These B\"acklund transformations are generalization of known B\"acklund transformations of the first and second Painlev\'e equations and they relate the considered ...
Sakka, Ayman Hashem
core +3 more sources
Nonlinear Engineering, 2021 In this paper, we investigate the effect of white noise on conformable time and space fractional KdV and BBM equations. For this purpose, we convert these equations with external noise to homogeneous conformable time and space fractional KdV and BBM ...
Pedram Leila, Rostamy Davoud
doaj +1 more source
Entropy, 2015 In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation and the (2 + 1)-dimensional cubic Klein–Gordon equation by using the generalized Kudryashov method.
Haci Mehmet Baskonus, Hasan Bulut
doaj +1 more source
Nonlinear Engineering, 2022 Various new exact solutions to (3+1)\left(3+1)-dimensional Wazwaz–KdV equations are obtained in this work via two techniques: the modified Kudryashov procedure and modified simple equation method.
Zhou Maojie +4 more
doaj +1 more source
Stable Optical Solitons for the Higher-Order Non-Kerr NLSE via the Modified Simple Equation Method
Mathematics, 2021 This paper studies the propagation of the short pulse optics model governed by the higher-order nonlinear Schrödinger equation (NLSE) with non-Kerr nonlinearity.
Noha M. Rasheed +4 more
doaj +1 more source
Alexandria Engineering Journal, 2023 In our study we implement an improved modified extended tanh-function (IMETF) method for constructing new solitons and other types of solutions with NLSE having Kudryashov’s generalized nonlinear refractive index.
Manar Ahmed +2 more
doaj +1 more source
A KdV-like advection-dispersion equation with some remarkable properties [PDF]
, 2012 We discuss a new non-linear PDE, u_t + (2 u_xx/u) u_x = epsilon u_xxx, invariant under scaling of dependent variable and referred to here as SIdV. It is one of the simplest such translation and space-time reflection-symmetric first order advection ...
Abhijit Sen +13 more
core +1 more source
Results in Physics, 2018 In this paper, we examines the effectiveness of newly developed algorithms called the exp(-ϕ(ξ))-expansion function method and generalized Kudryashov method for constructing new and important travelling wave solutions of space-time fractional nonlinear ...
M.A. Abdou, A.A. Soliman
doaj +1 more source
Solving fractional nonlinear partial differential equations by the modified Kudryashov method
Journal of Physics: Conference Series, 2019 Abstract There are more and more methods for transforming nonlinear partial differential equations into ordinary differential equations by using the traveling wave transform. In this paper, the modified Kudryashov method is used to use the new traveling wave transform, and the exact solution of the space-time fractional equal-width ...
Menghan Hao, Yanni Zhang, Jing Pang
openaire +1 more source
Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation [PDF]
Symmetry, 2018 The generalized Kuramoto–Sivashinsky equation is investigated using the modified Kudrayshov method for the exact analytical solution. The modified Kudrayshov method converts the nonlinear partial differential equation to algebraic equations, as a result of various steps, which on solving the so obtained equation systems yields the analytical ...
Rathinavel Silambarasan, Adem Kilicman
openaire +3 more sources