Localized solutions of (5+1)-dimensional evolution equations

Lump solutions of the 2D Toda equation

(2020) Yong-Li Sun et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Consistent Riccati expansion and rational solutions of the Drinfel’d–Sokolov–Wilson equation

(2020) Bo Ren et al.   APPLIED MATHEMATICS LETTERS

N-soliton solutions and long-time asymptotic analysis for a generalized complex Hirota–Satsuma coupled KdV equation

(2020) Jian-Ping Yu et al.   APPLIED MATHEMATICS LETTERS

Characteristics and interactions of solitary and lump waves of a (2 + 1)-dimensional coupled nonlinear partial differential equation

(2019) Bo Ren et al.   NONLINEAR DYNAMICS

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

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

Lump and Interaction Solutions of Linear PDEs in (3 + 1)-Dimensions

(2019) Wen-Xiu Ma   East Asian Journal on Applied Mathematics

Exotic Localized Vector Waves in a Two-Component Nonlinear Wave System

(2019) Ling Xu et al.   JOURNAL OF NONLINEAR SCIENCE

Diversity of Interaction Solutions of a Shallow Water Wave Equation

(2019) Jian-Ping Yu et al.   COMPLEXITY

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

Integrability aspects of some two-component KdV systems

(2018) Deng-Shan Wang et al.   APPLIED MATHEMATICS LETTERS

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

Lump solutions to nonlinear partial differential equations via Hirota bilinear forms

(2018) Wen-Xiu Ma et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Long-time asymptotics and the bright N-soliton solutions of the Kundu–Eckhaus equation via the Riemann–Hilbert approach

(2018) Deng-Shan Wang et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Long-time asymptotics of the focusing Kundu–Eckhaus equation with nonzero boundary conditions

(2018) Deng-Shan Wang et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

N-fold Darboux transformation and conservation laws of the modified Volterra lattice

(2018) Jian-Ping Yu et al.   MODERN PHYSICS LETTERS B

Multiple-soliton solutions and lumps of a (3+1)-dimensional generalized KP equation

(2018) Jianping Yu et al.   NONLINEAR DYNAMICS

A direct Bäcklund transformation for a (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like equation

(2017) Jian-Ping Yu et al.   NONLINEAR DYNAMICS

Dynamical and energetic instabilities of F = 2 spinor Bose–Einstein condensates in an optical lattice

(2017) Deng-Shan Wang et al.   PHYSICA D-NONLINEAR PHENOMENA

Emergence and space–time structure of lump solution to the (2 $$+$$ + 1)-dimensional generalized KP equation

(2017) Wei Tan et al.   PRAMANA-JOURNAL OF PHYSICS

Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations

(2016) Wen-Xiu Ma et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS B

Lump solutions to dimensionally reduced Kadomtsev–Petviashvili-like equations

(2016) Jian-Ping Yu et al.   NONLINEAR DYNAMICS

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

Study of lump solutions to dimensionally reduced generalized KP equations

(2016) Jian-Ping Yu et al.   NONLINEAR DYNAMICS

The $$\varvec{(2+1)}$$ ( 2 + 1 ) -dimensional Konopelchenko–Dubrovsky equation: nonlocal symmetries and interaction solutions

(2016) Bo Ren et al.   NONLINEAR DYNAMICS

Interaction solutions for mKP equation with nonlocal symmetry reductions and CTE method

(2015) Bo Ren   PHYSICA SCRIPTA

Lump solutions to the Kadomtsev–Petviashvili equation

(2015) Wen-Xiu Ma   PHYSICS LETTERS A