Results 21 to 30 of about 2,219 (128)
On the Benjamin-Bona-Mahony equation with a localized damping [PDF]
, 2016 We introduce several mechanisms to dissipate the energy in the Benjamin-Bona-Mahony (BBM) equation. We consider either a distributed (localized) feedback law, or a boundary feedback law.
Rosier, Lionel
core +4 more sources
, 2013 In this paper, we propose a new fractional sub-equation method for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modified Riemann-Liouville derivative, which is the fractional version of the known (G′/G ...
B. Zheng, Chuanbao Wen
semanticscholar +1 more source
The generalized Burgers equation with and without a time delay
International Journal of Stochastic Analysis, Volume 2004, Issue 1, Page 73-96, 2004., 2004 We consider the generalized Burgers equation with and without a time delay when the boundary conditions are periodic with period 2π. For the generalized Burgers equation without a time delay, that is, ut = vuxx − uux + u + h(x), 0 < x < 2π, t > 0, u(0, t) = u(2π, t), u(x, 0) = u0(x), a Lyapunov function method is used to show boundedness and uniqueness
Nejib Smaoui, Mona Mekkaoui
wiley +1 more source
Andrew Lenard: A Mystery Unraveled [PDF]
, 2005 The theory of bi-Hamiltonian systems has its roots in what is commonly referred to as the "Lenard recursion formula". The story about the discovery of the formula told by Andrew Lenard is the subject of this article.Comment: Published in SIGMA (Symmetry,
Praught, Jeffery, Smirnov, Roman G.
core +2 more sources
Riemann-Hilbert Approach and N-Soliton Solutions For Three-Component Coupled Hirota Equations
East Asian Journal on Applied Mathematics, 2020 A Riemann-Hilbert problem is employed to study integrable three-component coupled Hirota (tcCH) equations. Thus, we investigate the spectral properties of tcCH equations with a 4× 4 Lax pair and derive a Riemann-Hilbert problem, the solution of which is ...
Xin Wu, Shou-Fu Tian, Jin-Jie Yang
semanticscholar +1 more source
Nonanalytic solutions of the KdV equation
Abstract and Applied Analysis, Volume 2004, Issue 6, Page 453-460, 2004., 2004 We construct nonanalytic solutions to the initial value problem for the KdV equation with analytic initial data in both the periodic and the nonperiodic cases.
Peter Byers, A. Alexandrou Himonas
wiley +1 more source
Darboux transformation for classical acoustic spectral problem
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 49, Page 3123-3142, 2003., 2003 We study discrete isospectral symmetries for the classical acoustic spectral problem in spatial dimensions one and two by developing a Darboux (Moutard) transformation formalism for this problem. The procedure follows steps similar to those for the Schrödinger operator. However, there is no one‐to‐one correspondence between the two problems.
A. A. Yurova, A. V. Yurov, M. Rudnev
wiley +1 more source
Motion of Inextensible Quaternionic Curves and Modified Korteweg-de Vries Equation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 Many curve evolutions have been determined which are integrable in recent times. The motion of curves can be defined by certain integrable equations including the modified Korteweg-de Vries.
Eren Kemal
doaj +1 more source
On the support of solutions to the Zakharov-Kuznetsov equation [PDF]
, 2010 In this article we prove that sufficiently smooth solutions of the Zakharov-Kuznetsov equation that have compact support for two different times are identically zero.Comment: Version of Dec 17/2010 contains simpler proof of Theorem 1.3 and new ...
Bustamante, Eddye +2 more
core +2 more sources
Higher-Order Rogue Wave and Rational Soliton Solutions of Discrete Complex mKdV Equations
East Asian Journal on Applied Mathematics, 2018 The generalised perturbation (n, N − n)-fold Darboux transformation is used to derive new higher-order rogue wave and rational soliton solutions of the discrete complex mKdV equations.
Xiaoyong Wen
semanticscholar +1 more source