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20092022
most citedRogue waves of the Hirota and the Maxwell-Bloch equations

138 citations · 725 across the 47 of their papers we have counts for

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Showing 2012Show all

9 papers · 1 filter

nlin.SI2012

Regular solution and lattice miura transformation of bigraded Toda Hierarchy

Chuanzhong Li, Jingsong He

In this paper, we give finite dimensional exponential solutions of the bigraded Toda Hierarchy(BTH). As an specific example of exponential solutions of the BTH, we consider a regul…

nlin.SI2012★ 5 cited

Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equation

Chuanzhong Li, Jingsong He

In this paper, we derive Darboux transformation of the inhomogeneous Hirota and the Maxwell-Bloch(IH-MB) equations which is governed by femtosecond pulse propagation through inhomo…

nlin.SI2012★ 28 cited

Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies

Chuanzhong Li, Jingsong He

We construct generalized additional symmetries of a two-component BKP hierarchy defined by two pseudo-differential Lax operators. These additional symmetry flows form a Block type…

nlin.SI2012★ 15 cited

Virasoro type algebraic structure hidden in the constrained discrete KP hierarchy

Maohua Li, Chuanzhong Li, Keilei Tian +2

In this paper, we construct the additional symmetries of one-component constrained discrete KP (cdKP) hierarchy, and then prove that the algebraic structure of the symmetry flows i…

nlin.SI2012★ 138 cited

Rogue waves of the Hirota and the Maxwell-Bloch equations

Chuanzhong Li, Jingsong He, K. Porsezian

In this paper, we derive a Darboux transformation of the Hirota and the Maxwell-Bloch(H-MB) system which is governed by femtosecond pulse propagation through an erbium doped fibre…

nlin.SI2012★ 36 cited

Dispersionless bigraded Toda Hierarchy and its additional symmetry

Chuanzhong Li, Jingsong He

In this paper, we firstly give the definition of dipersionless bigraded Toda hierarchy (dBTH) and introduce some Sato theory on dBTH. Then we define Orlov-Schulman's $\M_L$, $\M_R$…