Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws

Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation

(2020) Jun-Wen Xia et al.   Communications in Nonlinear Science and Numerical Simulation

Study on the localized characteristics of lump and interaction solutions to two extended Jimbo-Miwa equations

(2020) Yu-Hang Yin et al.   Chinese Physics B

Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the $$(3+1)$$-dimensional generalized Kadomtsev–Petviashvili equation

(2020) Xue-Jiao He et al.   Analysis and Mathematical Physics

Multi-exponential wave solutions to two extended Jimbo–Miwa equations and the resonance behaviour

(2019) Hao-Nan Xu et al.   APPLIED MATHEMATICS LETTERS

Abundant exact solutions and interaction phenomena of the (2 + 1)-dimensional YTSF equation

(2019) Si-Jia Chen et al.   Analysis and Mathematical Physics

Interaction behavior associated with a generalized (2+1)-dimensional Hirota bilinear equation for nonlinear waves

(2019) Yan-Fei Hua et al.   APPLIED MATHEMATICAL MODELLING

Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation

(2019) Si-Jia Chen et al.   Communications in Nonlinear Science and Numerical Simulation

Diversity of exact solutions to a (3+1)-dimensional nonlinear evolution equation and its reduction

(2018) Yu-Hang Yin et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Bäcklund transformation, multiple wave solutions and lump solutions to a (3 + 1)-dimensional nonlinear evolution equation

(2017) Li-Na Gao et al.   NONLINEAR DYNAMICS

Bäcklund transformations, Lax system, conservation laws and multisoliton solutions for Jimbo–Miwa equation with Bell-polynomials

(2016) Manjit Singh et al.   Communications in Nonlinear Science and Numerical Simulation

Constructing lump solutions to a generalized Kadomtsev–Petviashvili–Boussinesq equation

(2016) Xing Lü et al.   NONLINEAR DYNAMICS

Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation

(2016) Xing Lü et al.   NONLINEAR DYNAMICS

Analytical study on a two-dimensional Korteweg–de Vries model with bilinear representation, Bäcklund transformation and soliton solutions

(2015) Xing Lü et al.   APPLIED MATHEMATICAL MODELLING

Lax pair, Bäcklund transformation and conservation laws for the (2+1)-dimensional extended shallow water wave equation

(2013) Na Liu et al.   COMPUTERS & FLUIDS

Linear superposition principle applying to Hirota bilinear equations

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

Application of the Exp‐function method for solving a partial differential equation arising in biology and population genetics

(2011) Mehdi Dehghan et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

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

(2011) Lin Luo   PHYSICS LETTERS A

Soliton Equations and Simple Combinatorics

(2008) Franklin Lambert et al.   ACTA APPLICANDAE MATHEMATICAE