On Inner Regularity of Solutions of Two-Dimensional Zakharov-Kuznetsov Equation
نویسندگان
چکیده
منابع مشابه
Exact Travelling Wave Solutions for a Modified Zakharov–Kuznetsov Equation
The modied Zakharov–Kuznetsov (mZK) equation, ut + uux + uxxx + uxyy = 0, (1) represents an anisotropic two-dimensional generalization of the Korteweg–de Vries equation and can be derived in a magnetized plasma for small amplitude Alfvén waves at a critical angle to the undisturbed magnetic field, and has been studied by many authors because of its importance [1–5]. However, Eq. (1) possesses m...
متن کاملNew Exact traveling wave solutions of the (2+1) dimensional Zakharov-Kuznetsov (ZK) equation
The repeated homogeneous balance method is used to construct new exact traveling wave solutions of the (2+1) dimensional ZakharovKuznetsov (ZK) equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation, respectively. Many new exact traveling wave solutions are successfully obtained. This method is straight...
متن کاملNew Explicit Solutions of the Generalized (2 + 1)-Dimensional Zakharov-Kuznetsov Equation
This paper studies the generalized (2 + 1)-dimensional Zakharov-Kuznetsov Equation using the (G'/G)-expand method, we obtain many new explicit solutions of the generalized (2 + 1)-dimensional Zakharov-Kuznetsov Equation, which include hyperbolic function solutions, trigonometric function solutions and rational function solutions and so on.
متن کاملExact traveling wave solutions of modified KdV–Zakharov–Kuznetsov equation and viscous Burgers equation
ABSTRACT Mathematical modeling of many physical systems leads to nonlinear evolution equations because most physical systems are inherently nonlinear in nature. The investigation of traveling wave solutions of nonlinear partial differential equations (NPDEs) plays a significant role in the study of nonlinear physical phenomena. In this article, we construct the traveling wave solutions of modif...
متن کاملThe Zakharov-Kuznetsov Equation as a Two-Dimensional Model for Nonlinear Rossby Waves
We derive the Zakharov-Kuznetsov equation for large scale motion from the barotropic quasigeostrophic equation in a weakly nonlinear, long wave approximation. We study the evolution of finite amplitude perturbations of an unstable jet in planetary atmospheres and oceans. We use multiple scale analysis combined with asymptotic matching. The Zakharov-Kuznetsov equation is suggestive that the pert...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Contemporary Mathematics. Fundamental Directions
سال: 2019
ISSN: 2413-3639
DOI: 10.22363/2413-3639-2019-65-3-513-546