Rather than attempting to examine every aspect of the Zakharov system in detail, it provides an effective road map to help readers access the frontier of studies on this system. .Guo, Boling; Gan, Zaihui; Kong,
soliton theory, signal processing, geophysics, fluid dynamics, and plasma physics. Given its broad utility, a rigorous mathematical analysis of the JM equation is essential. The primary objective of
The nonlinear four-dimensional Fokas equation and its soliton solutions also have a wide range of applications in fluid dynamics, plasma physics, and other engineering fields [15]. Wang et al. [16] extended the two-variable expansion method to deal with a coupled KdV and Zakharov-Kuznetsov ...
The area of fractional partial differential equations has recently become prominent for its ability to accurately simulate complex physical events. The search for traveling wave solutions for fractional partial differential equations is a difficult task,
Analytical optical solutions to the nonlinear Zakharov system via logarithmic transformation 2024, Results in Physics Show abstract N-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann–Hilbert method and PINN algorithm 2022, Physica D Nonlinear Phenomena Show...
Soliton Solutions of the Klein- Gordon-Zakharov Equation with Power Law Nonlinearity, ISRN Comput. Math. Article ID 716279. 7p.M. Ekici, D. Duran and A. Sonmezoglu, "Soliton Solutions of the Klein-Gordon-Zakharov Equation with Power Law Nonlinearity," ISRN Computational Mathematics, vol.2013,...
In this article, the potential Kadomtsev-Petviashvili (pKP) type coupled system with variable coefficients is studied, which have many applications in wave phenomena and soliton interactions in a two-dimensional space with time. In this framework, Hirota
V.E. Zakharov, A.A. Gelash, Superregular solitonic solutions: a novel scenario for the nonlinear stage of modulation instability, Nonlinearity 27 (4) (2014) R1.A. A. Gelash and V. E. Zakharov. Superregular solitonic solutions: a novel scenario of the nonlinear stage of Modulation ...
In this article, the potential Kadomtsev-Petviashvili (pKP) type coupled system with variable coefficients is studied, which have many applications in wave phenomena and soliton interactions in a two-dimensional space with time. In this framework, Hirota
They calculated abundant traveling wave solutions with arbitrary parameters of the Zakharov equations. Moreover, they also rediscovered the well-known solitary wave solutions when the parameters are replaced by special values. It is worth mentioning that, recently, Zayed et al. [25], [26] also ...