Integrability with symbolic computation on the Bogoyavlensky–Konoplechenko model: Bell-polynomial manipulation, bilinear representation, and Wronskian solution

Stable light-bullet solutions in the harmonic and parity-time-symmetric potentials

(2014) Chao-Qing Dai et al.   PHYSICAL REVIEW A

Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model

(2013) Xing Lü et al.   CHAOS

Soliton behavior for a generalized mixed nonlinear Schrödinger model with N-fold Darboux transformation

(2013) Xing Lü   CHAOS

Systematic construction of infinitely many conservation laws for certain nonlinear evolution equations in mathematical physics

(2013) Xing Lü et al.   Communications in Nonlinear Science and Numerical Simulation

Superposed Kuznetsov-Ma solitons in a two-dimensional graded-index grating waveguide

(2013) Chao-Qing Dai et al.   JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS

New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada–Kotera model

(2013) Xing Lü   NONLINEAR DYNAMICS

Painlevé-integrability and explicit solutions of the general two-coupled nonlinear Schrödinger system in the optical fiber communications

(2013) Xing Lü et al.   NONLINEAR DYNAMICS

Linear superposition principle applying to Hirota bilinear equations

(2011) Wen-Xiu Ma et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Generalized (2+1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms

(2011) Xing Lü et al.   NONLINEAR DYNAMICS

Exact solutions and Painlevé analysis of a new (2+1)-dimensional generalized KdV equation

(2011) Yi Zhang et al.   NONLINEAR DYNAMICS

Bäcklund Transformation and Multisoliton Solutions in Terms of Wronskian Determinant for (2+1)-Dimensional Breaking Soliton Equations with Symbolic Computation

(2010) Bo Qin et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Bell-polynomial manipulations on the Bäcklund transformations and Lax pairs for some soliton equations with one Tau-function

(2010) Xing Lü et al.   JOURNAL OF MATHEMATICAL PHYSICS

Explicit solutions of the Bogoyavlensky–Konoplechenko equation

(2009) Xiang-peng Xin et al.   APPLIED MATHEMATICS AND COMPUTATION

MULTI-SOLITON SOLUTIONS AND THEIR INTERACTIONS FOR THE (2+1)-DIMENSIONAL SAWADA-KOTERA MODEL WITH TRUNCATED PAINLEVÉ EXPANSION, HIROTA BILINEAR METHOD AND SYMBOLIC COMPUTATION

(2009) XING LÜ et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS B

New positon, negaton and complexiton solutions for the Bogoyavlensky–Konoplechenko equation

(2009) H.C. Hu   PHYSICS LETTERS A

Soliton Equations and Simple Combinatorics

(2008) Franklin Lambert et al.   ACTA APPLICANDAE MATHEMATICAE

Multisoliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Schrödinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications

(2008) Xing Lü et al.   ANNALS OF PHYSICS