Results 41 to 50 of about 1,434 (182)
Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equation [PDF]
, 2017 For a generalized KdV-Burgers-Kuramoto equation we have studied conservation laws by using the multiplier method, and investigated its first-level and second level potential systems. Furthermore, the Lie point symmetries of the equation and the Lie point
Bruzón Gallego, María de los Santos +3 more
core +3 more sources
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
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
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
Some analytic and series solutions of integrable generalized Broer-Kaup system
Alexandria Engineering Journal, 2022 In this article, we have updated the results obtained by Zhang et al. (2019) and derived some certain features of a famous dispersion water wave model, namely, generalized Broer-Kaup (BK) system. First, we have shown the integrability of the model. Then,
Sandeep Malik +3 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, 2023 We investigate a generalized scale-invariant analogue of the Korteweg–de Vries (KdV) equation, establishing a connection with the recently discovered short-wave intermediate dispersive variable (SIdV) equation.
Sayed Saifullah +5 more
doaj +1 more source
Exact solutions of the generalized $K(m,m)$ equations
, 2011 Family of equations, which is the generalization of the $K(m,m)$ equation, is considered.
Biswas +30 more
core +1 more source
Dynamics of Nonlinear Optics with Different Analytical Approaches
Fractal and Fractional, 2023 In this article, we investigate novel optical solitons solutions for the Lakshmanan–Porsezian–Daniel (LPD) equation, along with group velocity dispersion and spatio-temporal dispersion, via three altered analytical techniques.
Naeem Ullah +3 more
doaj +1 more source
Meromorphic exact solutions of the generalized Bretherton equation
, 2011 The generalized Bretherton equation is studied. The classification of the meromorphic traveling wave solutions for this equation is presented.
Abramowitz +20 more
core +1 more source