Kernel Formula Approach to the Universal Whitham Hierarchy
arXiv:1001.1934 · doi:10.1007/s11232-010-0121-4
Abstract
We derive the dispersionless Hirota equations of the universal Whitham hierarchy from the kernel formula approach proposed by Carroll and Kodama. Besides, we also verify the associativity equations in this hierarchy from the dispersionless Hirota equations and give a realization of the associative algebra with structure constants expressed in terms of the residue formulas.
18 pages
References in corpus (5)
- Universal Whitham hierarchy, dispersionless Hirota equations and multi-component KP hierarchy
- On Kernel Formulas and Dispersionless Hirota Equations
- Growth processes related to the dispersionless Lax equations
- Genus-zero Whitham hierarchies in conformal-map dynamics
- Loewner equations, Hirota equations and reductions of universal Whitham hierarchy