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20102026
most citedLong-time asymptotic for the derivative nonlinear Schrödinger equation with decaying initial value

78 citations · 365 across the 100 of their papers we have counts for

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nlin.SI2010★ 1 cited

Generalized Super Bell Polynomials with Applications to Superymmetric Equations

Engui Fan, Y. C. Hon

In this paper, we introduce a class of new generalized super Bell polynomials on a superspace, explore their properties, and show that they are a natural and effective tool to syst…

nlin.SI2010★ 3 cited

Binary Bell polynomials approach to the integrability of nonisospectral and variable-coefficient nonlinear equations

Engui Fan

Recently, Lembert, Gilson et al proposed a lucid and systematic approach to obtain bilinear Bäcklund transformations and Lax pairs for constant-coefficient soliton equations based…

nlin.SI2010

A Riemann theta function formula with its application to double periodic wave solutions of nonlinear equations

Engui Fan, Kwok Wing Chow

Based on a Riemann theta function and Hirota's bilinear form, a lucid and straightforward way is presented to explicitly construct double periodic wave solutions for both nonlinear…

nlin.SI2010

Bilinear approach to the quasi-periodic wave solutions of supersymmetric equations in superspace

Engui Fan

We devise a lucid and straightforward way for explicitly constructing quasi-periodic wave solutions (also called multi-periodic wave solutions) of supersymmetric equations in super…

nlin.SI2010

Explicit quasi-periodic wave solutions and asymptotic analysis to the supersymmetric Ito's equation

Engui Fan, Y. C. Hon

Based on a Riemann theta function and the super-Hirota bilinear form, we propose a key formula for explicitly constructing quasi-periodic wave solutions of the supersymmetric Ito's…