Abstract
Based upon the basis of Lie super algebra B(0,1), the super Tu equation hierarchy with self-con- sistent sources was presented. Furthermore, the infinite conservation laws of above hierarchy were given.
Highlights
Soliton equations with self-consistent sources have been receiving growing attention in recent years
The sources may result in solitary waves with a non-constant velocity and lead to a variety of dynamics of physical models
Various methods have been developed to search for new super integrable systems, Lax pairs, soliton solutions, symmetries and conservation laws, etc. [4]-[11]
Summary
Soliton equations with self-consistent sources have been receiving growing attention in recent years. Ma presented the soliton solutions of the Schrödinger equation with self-consistent sources [2]. Various methods have been developed to search for new super integrable systems, Lax pairs, soliton solutions, symmetries and conservation laws, etc. In 1997, Hu proposed the supertrace identity and applied it to establish the super Hamiltonian structures of super-integrable systems [4]. (2015) Self-Consistent Sources and Conservation Laws for Super Tu Equation Hierarchy.
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