Results 31 to 40 of about 3,788,461 (324)

High-order schemes for the fractional coupled nonlinear Schrödinger equation

Networks and Heterogeneous Media, 2023
This paper considers the fractional coupled nonlinear Schrödinger equation with high degree polynomials in the energy functional that cannot be handled by using the quadratic auxiliary variable method.
Fengli Yin, Dongliang Xu, Wenjie Yang
doaj   +1 more source

On the GBDT version of the B\"acklund-Darboux transformation and its applications to the linear and nonlinear equations and Weyl theory [PDF]

, 2009
A general theorem on the GBDT version of the B\"acklund-Darboux transformation for systems rationally depending on the spectral parameter is treated and its applications to nonlinear equations are given.
Sakhnovich, Alexander
core   +2 more sources

The Periodic Solutions to Kawahara Equation by Means of the Auxiliary Equation with a Sixth-Degree Nonlinear Term

Journal of Mathematics, 2013
It is well known that different types of exact solutions of an auxiliary equation produce new types of exact travelling wave solutions to nonlinear equations.
Zehra Pınar, Turgut Öziş
doaj   +1 more source

Spreading speeds of epidemic models with nonlocal delays

Mathematical Biosciences and Engineering, 2019
We estimate the spreading speeds in diffusive epidemic models with nonlocal delays, nonlinear incidence rate and constant recruitment rate. The purpose is to model the process that the infective invades the habitat of the susceptible, and they coexist ...
Guo Lin, Shuxia Pan, Xiang-Ping Yan
doaj   +1 more source

Scalar auxiliary variable approache for the surface quasi-geostrophic equation

Journal of Algorithms & Computational Technology, 2023
We present a numerical method for approximating the two-dimensional surface quasi-geostrophic equation. We first reformulate the equation into an equivalent system by using the scalar auxiliary variable approach.
Shengtao Shi, Fangying Song
doaj   +1 more source

Investigation into O(N) Invariant Scalar Model Using Auxiliary-Mass Method at Finite Temperature [PDF]

, 1998
Using auxiliary-mass method, O(N) invariant scalar model is investigated at finite temperature. This mass and an evolution equation allow us to calculate an effective potential without an infrared divergence. Second order phase transition is indicated by
G. Amelino-Camelia, G. Amelino-Camelia, H. Nakkagawa, I. T. Drummond, J. Arafune, J. I. Kapusta, J. Zinn-Justin, Joe Sato, K. Kanaya, K. Ogure, K. Takahashi, Kenzo Ogure, L. Dolan, P. Arnold, P. Fendley, R. Pisarski, S. B. Liao, S. B. Liao, S. Chiku, T. Hatsuda   +19 more
core   +4 more sources

On the reduction of the multidimensional Schroedinger equation to a first order equation and its relation to the pseudoanalytic function theory

, 2004
Given a particular solution of a one-dimensional stationary Schroedinger equation (SE) this equation of second order can be reduced to a first order linear differential equation. This is done with the aid of an auxiliary Riccati equation.
Begehr H, Bernstein S, Bernstein S, Bers L, Bers L, Kravchenko V G, Kravchenko V G, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Lakhtakia A, Tutschke W, Vekua I N, Vladislav V Kravchenko   +14 more
core   +1 more source

Continuous and discrete transformations of a one-dimensional porous medium equation

, 1999
We consider the one-dimensional porous medium equation $u_t=\left (u^nu_x \right )_x+\frac{\mu}{x}u^nu_x$. We derive point transformations of a general class that map this equation into itself or into equations of a similar class.
Bluman G.W., Bluman G.W., Gandarias M.L., Gandarias M.L., Ibragimov N.H., Kingston J.G., Kingston J.G., Sophocleous C., Sophocleous C.   +8 more
core   +1 more source

Partial differential systems with nonlocal nonlinearities: Generation and solutions [PDF]

, 2018
We develop a method for generating solutions to large classes of evolutionary partial differential systems with nonlocal nonlinearities. For arbitrary initial data, the solutions are generated from the corresponding linearized equations.
Beck, Margaret, Doikou, Anastasia, Malham, Simon J. A., Stylianidis, Ioannis   +3 more
core   +2 more sources

New exact solutions for Kudryashov–Sinelshchikov equation

Advances in Difference Equations, 2018
In this paper, we firstly change the auxiliary second order ordinary differential equation in the G′G $\frac{G'}{G}$-polynomial expansion method to the Riccati equation.
Junliang Lu
doaj   +1 more source