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20012024
most citedCoupled KdV equations derived from atmospherical dynamics

116 citations · 203 across the 5 of their papers we have counts for

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5 papers

nlin.SI2024★ 1 cited

Integrable Semi-Discretization for a Modified Camassa-Holm Equation with Cubic Nonlinearity

Bao-Feng Feng, Heng-Chun Hu, Han-Han Sheng +2

In the present paper, an integrable semi-discretization of the modified Camassa-Holm (mCH) equation with cubic nonlinearity is presented. The key points of the construction are bas…

nlin.SI2005★ 116 cited

Coupled KdV equations derived from atmospherical dynamics

S. Y. Lou, Bin Tong, Heng-chun Hu +1

Some types of coupled Korteweg de-Vries (KdV) equations are derived from an atmospheric dynamical system. In the derivation procedure, an unreasonable -average trick (which is u…

nlin.SI2002★ 49 cited

Darboux Transformation and Variable Separation Approach: the Nizhnik-Novikov-Veselov equation

Heng-chun Hu, Sen-yue Lou, Qing-ping Liu

Darboux transformation is developed to systematically find variable separation solutions for the Nizhnik-Novikov-Veselov equation. Starting from a seed solution with some arbitrary…

nlin.SI2002★ 35 cited

New Darboux Transformation for Hirota-Satsuma coupled KdV System

Heng Chun Hu, Q. P. Liu

A new Darboux transformation is presented for the Hirota-Satsuma coupled KdV system. It is shown that this Darboux transformation can be constructed by means of two methods: Painle…

nlin.SI2001★ 2 cited

Decouple a coupled KdV system of Nutku and Oguz

Heng Chun Hu, Q. P. Liu

A coupled KdV system with a free parameter proposed by Nutku and Oguz is considered. It is shown that the system passes the WTC's Painlevé test for arbitrary value of the parameter…