Dark Korteweg–De Vrise System and Its Higher-Dimensional Deformations

The new dimensional deformation approach is proposed to generate higher-dimensional analogues of integrable systems. An arbitrary(K+1)-dimensional integrable Korteweg–de Vries(Kd V) system, as an example, exhibiting symmetry, is illustrated to arise from a reconstructed deformation procedure, starting with a general symmetry integrable(1+1)-dimensional dark Kd V system and its conservation laws. Physically, the dark equation systems may be related to dark matter physics. To describe nonlinear ph...