Integrable nonlocal PT-symmetric generalized so(3,R) -mKdV equations

Abstract

Based on a soliton hierarchy associated with so(3,R), we construct two integrable nonlocal PT-symmetric generalized 
mKdV equations. The key step is to formulate two nonlocal reverse-spacetime similarity transformations for the involved 
spectral matrix, and therefore, integrable nonlocal complex and real reverse-spacetime generalized so(3,R)-mKdV equations of fifth-order are presented. The resulting reduced nonlocal integrable equations inherit infinitely many commuting symmetries and conservation laws.

Dynamic Analysis of a Delayed Differential Equation for Ips subelongatus Motschulsky-Larix spp.

“…Various models of forest diseases and pests have been studied [11][12][13]. Many scholars provided a theoretical analysis of the models from an equation analysis perspective [14][15][16][17][18]. For example, Song et al [14] considered a diffusive predator-prey system with memory-based diffusion and Holling type-II functional response.…”