Integrability of the modified generalised Vakhnenko equation

The singular solutions of a nonlinear evolution equation taking continuous part of the spectral data into account in inverse scattering method

(2012) V.O. Vakhnenko et al.   CHAOS SOLITONS & FRACTALS

Bäcklund Transformations and Solutions of a Generalized Kadomtsev—Petviashvili Equation

(2012) Yun-Hu Wang et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Special singularity function for continuous part of the spectral data in the associated eigenvalue problem for nonlinear equations

(2012) V. O. Vakhnenko et al.   JOURNAL OF MATHEMATICAL PHYSICS

Solutions Associated with Discrete and Continuous Spectrums in the Inverse Scattering Method for the Vakhnenko-Parkes Equation

(2012) V. O. Vakhnenko et al.   PROGRESS OF THEORETICAL PHYSICS

A DIRECT PROCEDURE ON THE INTEGRABILITY OF NONISOSPECTRAL AND VARIABLE-COEFFICIENT MKdV EQUATION

(2012) XIAORUI HU et al.   JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS

Binary Bell Polynomials, Bilinear Approach to Exact Periodic Wave Solutions of (2 + 1)-Dimensional Nonlinear Evolution Equations

(2011) Yun-Hu Wang et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Binary Bell Polynomials Approach to Generalized Nizhnik—Novikov—Veselov Equation

(2011) Xiao-Rui Hu et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Negative-order KdV equation with both solitons and kink wave solutions

(2011) Zhijun Qiao et al.   EPL

Binary Bell polynomial approach to the non-isospectral and variable-coefficient KP equations

(2011) Y. C. Hon et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Bell-polynomial approach and N-soliton solution for the extended Lotka–Volterra equation in plasmas

(2011) Bo Qin et al.   JOURNAL OF MATHEMATICAL PHYSICS

Darboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation

(2011) Engui Fan et al.   JOURNAL OF MATHEMATICAL PHYSICS

Combined Wronskian solutions to the 2D Toda molecule equation

(2011) Wen-Xiu Ma   PHYSICS LETTERS A

New exact solutions and Bäcklund transformation for Boiti–Leon–Manna–Pempinelli equation

(2011) Lin Luo   PHYSICS LETTERS A

On a direct procedure for the quasi-periodic wave solutions of the supersymmetric Ito's equation

(2011) E.G. Fan et al.   REPORTS ON MATHEMATICAL PHYSICS

New Bilinear Bäcklund Transformation and Lax Pair for the Supersymmetric Two-Boson Equation

(2011) E. Fan   STUDIES IN APPLIED MATHEMATICS

The interaction processes of the N-soliton solutions for an extended generalization of Vakhnenko equation

(2010) Bangqing Li et al.   APPLIED MATHEMATICS AND COMPUTATION

N-soliton solutions for the Vakhnenko equation and its generalized forms

(2010) Abdul-Majid Wazwaz   PHYSICA SCRIPTA

On the periodic solutions for both nonlinear differential and difference equations: A unified approach

(2010) Engui Fan et al.   PHYSICS LETTERS A

The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials

(2010) Engui Fan   PHYSICS LETTERS A

Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation

(2009) Engui Fan   Journal of Physics A-Mathematical and Theoretical

EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS

(2009) WEN-XIU MA et al.   MODERN PHYSICS LETTERS A

Soliton Equations and Simple Combinatorics

(2008) Franklin Lambert et al.   ACTA APPLICANDAE MATHEMATICAE

A KIND OF EXPLICIT QUASI-PERIODIC SOLUTION AND ITS LIMIT FOR THE TODA LATTICE EQUATION

(2008) Y. C. HON et al.   MODERN PHYSICS LETTERS B

Quasiperiodic waves and asymptotic behavior for Bogoyavlenskii’s breaking soliton equation in(2+1)dimensions

(2008) Engui Fan et al.   PHYSICAL REVIEW E

Soliton multidimensional equations and integrable evolutions preserving Laplace's equation

(2007) A.S. Fokas   PHYSICS LETTERS A