Hodograph solutions for the Manakov–Santini equation

Abstract

We investigate the integrable (2+1)-dimensional Manakov–Santini equation from the Lax–Sato form. Several particular two- and three-component reductions are considered so that the Manakov–Santini equation can be reduced to systems of hydrodynamic type. Then one can construct infinitely many exact solutions of the equation by the hodograph method.

Document Details

Document Type
Pub Defense Publication
Publication Date
Apr 01, 2010
Source ID
10.1063/1.3371032

Entities

People

  • Jen-hsu Chang
  • Yu-tung Chen

Organizations

  • National Defense University

Tags

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.