Results 41 to 50 of about 605 (73)
Partial Differential Equations in Applied Mathematics, 2020 In this article, we apply a direct influential approach namely enhanced modified simple equation (EMSE) method to integrate the Burgers–Huxley (BH) and FitzHugh–Nagumo (FHN) equations which explain nerve pulse propagation in nerve fibers, circuit theory ...
Md. Mamunur Roshid +3 more
doaj
The local strong and weak solutions to a generalized Novikov equation
, 2013 A nonlinear partial differential equation, which includes the Novikov equation as a special case, is investigated. The well-posedness of local strong solutions for the equation in the Sobolev space Hs(R) with s>32 is established.
S. Lai, Meng Wu
semanticscholar +1 more source
, 1997 Using the `Riemann Problem with zeros' method, Ward has constructed exact solutions to a (2+1)-dimensional integrable Chiral Model, which exhibit solitons with nontrivial scattering.
Anand, Christopher Anand, Hitchin, Ward
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On new types of integrable 4-wave interactions
, 2012 We start with a Riemann-Hilbert Problems (RHP) with canonical normalization whose sewing functions depends on two or more additional variables. Using Zakharov-Shabat theorem we are able to construct a family of ordinary differential operators for which ...
Gerdjikov, Vladimir S.
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RECURSION OPERATORS FOR RATIONAL BUNDLE ON sl(3,C) WITH Z2 × Z2 × Z2 REDUCTION OF MIKHAILOV TYPE
, 2015 We consider the recursion operator related to a system introduced recently that could be considered as a generalization to a pole gauge generalized Zakharov-Shabat system on sl(3,C) but involving rational dependence on the spectral parameter and subject ...
A. Yanovski
semanticscholar +1 more source
The Additional Symmetries for the BTL and CTL Hierarchies
, 2011 The Toda lattice (TL) hierarchy was first introduced by K.Ueno and K.Takasaki in \cite{uenotaksasai} to generalize the Toda lattice equations\cite{toda}. Along the work of E. Date, M. Jimbo, M. Kashiwara and T.
Date E. +5 more
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SOLITARY WAVE SOLUTIONS FOR A CLASS OF DISPERSIVE EQUATIONS
, 2015 The focus of the present work is the one-dimensional nonlinear equation ut − uxxt + ux + uxxx + αuux = λ(uuxxx + 2uxuxx), (1) modeling the wave breaking phenomenon in the shallow water regime.
A. Montes
semanticscholar +1 more source
Alexandria Engineering Journal, 2020 In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkil Park +4 more
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Dissipative perturbations for the K(n,n) Rosenau-Hyman equation
, 2012 Compactons are compactly supported solitary waves for nondissipative evolution equations with nonlinear dispersion. In applications, these model equations are accompanied by dissipative terms which can be treated as small perturbations.
Abassy +43 more
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On the classification of scalar evolutionary integrable equations in $2+1$ dimensions
, 2010 We consider evolutionary equations of the form $u_t=F(u, w)$ where $w=D_x^{-1}D_yu$ is the nonlocality, and the right hand side $F$ is polynomial in the derivatives of $u$ and $w$.
E. V. Ferapontov +3 more
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