Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation
نویسندگان
چکیده
منابع مشابه
Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation
The generalized and improved (G'/G)-expansion method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential equations. In this article, we investigate the higher dimensional nonlinear evolution equation, namely, the (3+1)-dimensional modified KdV-Zakharov-Kuznetsev equation via this powerful method. The solutions...
متن کاملThe Improved (G'/G)-Expansion Method for the (2+1)-Dimensional Modified Zakharov-Kuznetsov Equation
we apply the improved G′/G -expansion method for constructing abundant new exact traveling wave solutions of the 2 1 -dimensional Modified Zakharov-Kuznetsov equation. In addition, G ′′ λG′ μG 0 together with b α ∑w q −w pq G ′/G q is employed in this method, where pq q 0,±1,±2, . . . ,±w , λ and μ are constants. Moreover, the obtained solutions including solitons and periodic solutions are des...
متن کاملThe Extended Generalized Riccati Equation Mapping Method for the (1+1)-Dimensional Modified KdV Equation
where p,q and r are arbitrary constants. We construct twenty five exact traveling wave solutions of the (1+1)-dimensional modified KdV equation involving parameter by applying this method. The solutions are presented in terms of the hyperbolic, the trigonometric and the rational functional form including solitons and periodic solutions. Moreover, it is worth mentioning that one of our obtained ...
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 کاملAn Improved Local Wellposedness Result for the Modified Kdv-equation
The Cauchy problem for the modified KdV-equation ut + uxxx = (u 3)x, u(0) = u0 is shown to be locally wellposed for data u0 in the space Ĥr s (R) defined by the norm ‖u0‖ Ĥr s := ‖〈ξ〉sû0‖Lr′ ξ , provided 4 3 < r ≤ 2, s ≥ 1 2 − 1 2r . For r = 2 this coincides with the best possible result on the H-scale due to Kenig, Ponce and Vega. The proof uses an appropriate variant of the Fourier restrictio...
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: PLoS ONE
سال: 2013
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0064618