In this paper, we propose a class of adaptive multiresolution (also called the sparse grid) ultra-weak discontinuous Galerkin (UWDG) methods for solving some nonlinear dispersive wave equations including Korteweg--de Vries (KdV) equation and its two-dimensional generalization, Zakharov--Kuznetsov (ZK) equation. The UWDG formulation, which relies on repeated integration by parts, was proposed Kd...

The purpose of this study is to examine the properties dust-acoustic solitary waves in a complex magnetoplasma made up negatively charged moving dust grains lower ionospheric region and inertialess electrons ions obeying Maxwell kappa distributions, respectively. In context, reductive perturbation technique carried out obtain Zakharov–Kuznetsov (ZK) equation within given framework. obtained evo...