Hodograph solutions for the generalized dKP equation

2009/04/29 by Jen-Hsu Chang, Chang, Jen-Hsu, Yu‐Tung Chen +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.SI

paper · pdf · doi:10.48550/arxiv.0904.4595

19 pages

arxiv created 2009/04/29 · openalex publication_date 2009/04/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the integrable (2+1)-dimensional generalized dispersionless KP (GdKP) equation (or Manakov-Santinit system) from the Lax-Sato form. Several particular three-component reductions are considered so that the GdKP equation can be reduced to hydrodynamic systems. Then one can construct infinite exact solutions of GdKP by the generalized hodograph method.

Citations

• A hierarchy of integrable PDEs in 2+1 dimensions associated with 2 - dimensional vector fields
• On the dressing method for Dunajski anti-self-duality equation

Cited by

• Integrability of the Manakov--Santini hierarchy

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