نتایج جستجو برای: fractional zakharov kuznetsov equation

تعداد نتایج: 283846  

2010
Yanhong Qiu Baodan Tian

In this paper,the traditional G′/G-expansion method is improved and a generalized G′/G-expansion method is proposed to seek exact solutions of nonlinear evolution equations.And we choose Benjamin-Bona-Mahony equation,(2+1) dimensional generalized Zakharov-Kuznetsov equation and variant Bousinessq equations to illustrate the validity and advantages of the proposed method.It is shown that the pro...

Journal: :Annales de l'Institut Henri Poincaré C, Analyse non linéaire 2021

Abstract The main purpose here is the study of dispersive blow-up for solutions Zakharov-Kuznetsov equation. Dispersive refers to point singularities due focusing short or long waves. We will construct initial data such that linear problem present this kind singularities. Then we show corresponding nonlinear inherited from component part Similar results are obtained generalized

2008
FELIPE LINARES ADEMIR PASTOR A. PASTOR

We prove that the initial value problem for the two-dimensional modified ZakharovKuznetsov equation is locally well-posed for data in H(R), s > 3/4. Even though the critical space for this equation is L(R) we prove that well-posedness is not possible in such space. Global well-posedness and a sharp maximal function estimate are also established.

Journal: :Physical review letters 2000
Bridges

Transverse instabilities correspond to a class of perturbations traveling in a direction transverse to the direction of the basic solitary wave. Solitary waves traveling in one space direction generally come in one-parameter families. We embed them in a two-parameter family and deduce a new geometric condition for transverse instability of solitary waves. This condition is universal in the sens...

Journal: :AppliedMath 2022

The main idea of this paper is to study the chaotic behavior Zakharov–Kuznetsov equation with perturbation. By taking traveling wave transformation, we transform perturbed dual-power law and triple-power nonlinearity into planar dynamic systems, then analyze how external terms affect behavior. We emphasize here that there no phenomenon for non-perturbed ZK equation, thus it only caused by terms.

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