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- Jen-Hsu Chang
- 2011

We use the Gould-Hopper (GH) polynomials to investigate the Novikov-Veselov (NV) equation. The root dynamics of the σ-flow in the NV equation is studied using the GH polynomials and then the Lax pair… (More)

- Jen-Hsu Chang
- 2006

We investigate the bi-Hamiltonian structure of the waterbag model of dispersionless K (dKP) for the two-component case. One can establish the third- and first-order Hamiltonian operators associated… (More)

- Jen-Hsu Chang
- 2017

We study soliton interaction in the Modified Kadomtsev-Petviashvili-(II) equation (MKP-(II)) using the totally non-negative Grassmannian. One constructs the multi-kink soliton of MKP equation using… (More)

- Jen-Hsu Chang
- 2002

We construct one-parameter deformation of the Dorfman Hamiltonian operator for the Riemann hierarchy using the quasi-Miura transformation from topological field theory. In this way, one can get the… (More)

- Jen-Hsu Chang, Yanjun Chen
- 2009

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… (More)

- Jen-Hsu Chang
- 2016

Inspired by the works of Y. Ohta and J. Yang, one constructs the rogue waves solutions in the KP-(I) equation using the Grammian determinants. It is shown that the number of lumps will depend on the… (More)

- Jen-Hsu Chang
- 1998

We give a dispersionless Toda-like extension to the dispersionless Harry Dym (dDym) hierarchy. The extended dDym (EdDym) hierarchy has a dressing formulation, and its underlying solution structure… (More)

- Jen-Hsu Chang
- 2014

Using the reality condition of the solutions, one constructs the Mach-type soliton of the Novikov{Veselov equation by the minor-summation formula of the Pfaffian. We study the evolution of the… (More)

The Miura map between the dispersionless KP and dispersionless modified KP hierarchies is investigated. It is shown that the Miura map is canonical with respect to their bi-Hamiltonian structures.… (More)