Nonlinear Waves in

526 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

The Cauchy problem for the 3D Zakharov-Kuznetsov equation (2009, methodology): “One gets from the Boltzmann equation a simplified system, namely the Euler-Poisson system, written here in dimensionless form (see [5] Chapter 2, [7] Chapter 5, [15]):    nt + div(nv) = 0 vt + (v · ∇)v +∇φ + a ex × v = 0 ex =   1 0 0   ∆φ− e + n = 0 (4)”
The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation (2012, background): “The Zakharov-Kuznetsov equation (1) ut + u ∂xu+ ∂x∆u = 0, u = u(x, y, z, t), (x, y, z) ∈ R, t ∈ R, d = 2, 3 was introduced as an asymptotic model in [28] (see also [17], [15], [6], and [27] for some generalizations) to describe the propagation of nonlinear ionic-sonic waves in a magnetized plasma.”