Abstract
The super integrable system and its super Hamiltonian structure are established based on a loop super Lie algebra and super-trace identity in this paper. Then the super integrable system with self-consistent sources and conservation laws of the super integrable system are constructed. Furthermore, an explicit Bargmann symmetry constraint and the binary nonlinearization of Lax pairs for the super integrable system are established. Under the symmetry constraint,the
Funding statement: This work was supported by the Natural Science Foundation of China (Grant Nos. 11271008, 61072147, 11601055)
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Articles in the same Issue
- Frontmatter
- Transient Analysis of Heat Transfer by Natural Convection Along a Vertical Wavy Surface
- Three-Dimensional Flow Problems in a Lid-Driven Cubical Cavity with a Circular Cylinder
- Complete Controllability of Fractional Impulsive Multivalued Stochastic Partial Integrodifferential Equations with State-Dependent Delay
- Dynamic Stability of a Thin Film Bonded to a Compliant Substrate Subjected to a Step Load with Damping
- Existence Results to Some Damped-Like Fractional Differential Equations
- A Numerical Method for Solving Two-Dimensional Elliptic Interface Problems with Nonhomogeneous Flux Jump Condition and Nonlinear Jump Condition
- Numerical Simulation of Free Surface and Flow Field Turbulence in a Circular Channel with the Side Weir in Subcritical Flow
- Comparative Analysis of Various Control Strategies for a Nonlinear CSTR System
- Non-Polynomial Spline Method for One Dimensional Nonlinear Benjamin-Bona-Mahony-Burgers Equation
- The Binary Nonlinearization of the Super Integrable System and Its Self-Consistent Sources