Zakharov-Shabat Equations and Lax Operators
Analysis
Key Takeaways
- •Demonstrates a method to derive Lax operators directly from Zakharov-Shabat equations.
- •Applies to KP and modified KP hierarchies.
- •Offers a new perspective on the relationship between the equations and the underlying integrable structure.
“The Zakharov-Shabat equations themselves recover the Lax operators under suitable change of independent variables in the case of the KP hierarchy and the modified KP hierarchy (in the matrix formulation).”