Lump and lump-multi-kink solutions in the (3+1)-dimensions

The variable separation solution, fractal and chaos in an extended coupled (2+1)-dimensional Burgers system

(2022) Yi-Wei Zhao et al.   NONLINEAR DYNAMICS

Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types

(2021) Xing Lü et al.   NONLINEAR DYNAMICS

Parameter estimation of the incubation period of COVID-19 based on the doubly interval-censored data model

(2021) Ming-Ze Yin et al.   NONLINEAR DYNAMICS

Stability and optimal control strategies for a novel epidemic model of COVID-19

(2021) Xing Lü et al.   NONLINEAR DYNAMICS

Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation

(2021) Yu-Hang Yin et al.   NONLINEAR DYNAMICS

New general interaction solutions to the KPI equation via an optional decoupling condition approach

(2021) Xing Lü et al.   Communications in Nonlinear Science and Numerical Simulation

Vector bright solitons and their interactions of the couple Fokas–Lenells system in a birefringent optical fiber

(2020) Chen-Rong Zhang et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

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

Hetero-Bäcklund transformation and similarity reduction of an extended (2+1)-dimensional coupled Burgers system for fluid mechanics

(2020) Xin-Yi Gao et al.   PHYSICS LETTERS A

Shallow water in an open sea or a wide channel: Auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system

(2020) Xin-Yi Gao et al.   CHAOS SOLITONS & FRACTALS

Existence, symmetry breaking bifurcation and stability of two-dimensional optical solitons supported by fractional diffraction

(2020) Pengfei Li et al.   OPTICS EXPRESS

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

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

(2020) Xing Lü et al.   Communications in Nonlinear Science and Numerical Simulation

Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients

(2020) Si-Jia Chen et al.   Communications in Nonlinear Science and Numerical Simulation

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

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

Lump, mixed lump-stripe and rogue wave-stripe solutions of a (3+1)-dimensional nonlinear wave equation for a liquid with gas bubbles

(2019) Meng Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

Breather wave solutions for the Kadomtsev‐Petviashvili equation with variable coefficients in a fluid based on the variable‐coefficient three‐wave approach

(2019) Jian‐Guo Liu et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Evolution of breathers and interaction between high-order lump solutions and N-solitons (N → ∞) for Breaking Soliton system

(2019) Wei Tan   PHYSICS LETTERS A

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

Reconstruction of stability for Gaussian spatial solitons in quintic–septimal nonlinear materials under PT-symmetric potentials

(2018) Chao-Qing Dai et al.   NONLINEAR DYNAMICS

Interaction phenomena between a lump and other multi-solitons for the $${\mathbf {(2+1)}}$$(2+1)-dimensional BLMP and Ito equations

(2018) Chunhua He et al.   NONLINEAR DYNAMICS

Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev–Petviashvili equation

(2018) Jian-Guo Liu et al.   NONLINEAR DYNAMICS

Lump waves, solitary waves and interaction phenomena to the (2 + 1)-dimensional Konopelchenko–Dubrovsky equation

(2018) Wenhao Liu et al.   PHYSICS LETTERS A

Lump and lump-soliton solutions to the Hirota–Satsuma–Ito equation

(2018) Yuan Zhou et al.   Communications in Nonlinear Science and Numerical Simulation

Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations

(2016) Yaning Tang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

(2016) Xing Lü et al.   NONLINEAR DYNAMICS

Bilinear Bäcklund transformations and explicit solutions of a ( 3 + 1 ) $(3+1)$ -dimensional nonlinear equation

(2016) Zhigang Hu et al.   Advances in Difference Equations

One- and two-soliton solutions to a new KdV evolution equation with nonlinear and nonlocal terms for the water wave problem

(2015) M. Fokou et al.   NONLINEAR DYNAMICS

Envelope bright- and dark-soliton solutions for the Gerdjikov–Ivanov model

(2015) Xing Lü et al.   NONLINEAR DYNAMICS

Lump solutions to the Kadomtsev–Petviashvili equation

(2015) Wen-Xiu Ma   PHYSICS LETTERS A