Results 41 to 50 of about 1,098 (97)

Application of scaling invariance approach, P-test and soliton solutions for couple of dynamical models

Results in Physics, 2021
In the current article, we will apply the scaling invariance technique to find conservation laws (CLs) for the nonlinear Chiral Schrödinger equation (NLCSE) with variable coefficients and the (2+1)-dimensional Maccari system.
Azhar Bashir, Aly R. Seadawy, Syed Tahir Raza Rizvi, Muhammad Younis, Ijaz Ali, Abd Allah A. Mousa   +5 more
doaj  

The equations of some dispersionless limit [PDF]

, 1995
This short article presents a table of new equations which can be regarded as the generalized equations of the dispersionless limit of several nonlinear equations.
Son, Seung Hwan
core   +1 more source

A note on the stability for Kawahara-KdV type equations

, 2009
In this paper we establish the nonlinear stability of solitary traveling-wave solutions for the Kawahara-KdV equation $$u_t+uu_x+u_{xxx}-\gamma_1 u_{xxxxx}=0,$$ and the modified Kawahara-KdV equation $$u_t+3u^2u_x+u_{xxx}-\gamma_2 u_{xxxxx}=0,$$ where ...
Natali, F.
core   +1 more source

Kinky periodic pulse and interaction of bell wave with kink pulse wave propagation in nerve fibers and wall motion in liquid crystals

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, Harun-Or-Roshid, M. Zulfikar Ali, Hadi Rezazadeh   +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

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

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

Existence and nonexistence of solutions for the generalized Camassa-Holm equation

Advances in Differential Equations, 2014
In this paper, we study the Cauchy problem of a generalized Camassa-Holm equation. It is shown that the equation is locally well posed when the initial data are sufficiently smooth.
Xiujuan Pan, S. Kang, Young Chel Kwun
semanticscholar   +1 more source

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, Antonova, Bertozzi, Bin, Biswas, Biswas, Biswas, Cardenas, Cooper, Cooper, Cooper, de Frutos, Dey, Drazin, Ebadi, Fernandez, Francisco R. Villatoro, Johnson, Julio Garralón, Kardashov, Kevorkian, Khare, Kivshar, Kivshar, Kovalev, Laila, Lamb, Ludu, McLaughlin, Mihaila, Olver, Pikovsky, Rosenau, Rosenau, Rosenau, Rosenau, Rosenau, Rosenau, Rus, Rus, Rus, Rus, Triki, Zhang   +43 more
core   +1 more source

Tensor fields defined by Lax representations [PDF]

arXiv, 2015
In this paper, some properties of tensor fields constructed by the Lax representation of chiral-type systems are investigated.
arxiv