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

High-order lumps, high-order breathers and hybrid solutions for an extended (3 + 1)-dimensional Jimbo–Miwa equation in fluid dynamics

(2020) Han-Dong Guo et al.   NONLINEAR DYNAMICS

New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function

(2020) Wei Gao et al.   CHAOS SOLITONS & FRACTALS

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

Novel Dynamic Structures of 2019-nCoV with Nonlocal Operator via Powerful Computational Technique

(2020) Wei Gao et al.   Biology-Basel

Analytical and approximate solutions of an epidemic system of HIV/AIDS transmission

(2020) Wei Gao et al.   Alexandria Engineering Journal

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

Evolution and emergence of new lump and interaction solutions to the (2+1)-dimensional Nizhnik-Novikov-Veselov system

(2019) Tan Wei et al.   PHYSICA SCRIPTA

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

Lump Solitons, Rogue Wave Solutions and Lump-Stripe Interaction Phenomena to an Extended (3+1)-dimensional KP Equation

(2019) M.K. Elboree   CHINESE JOURNAL OF PHYSICS

Lump-type solutions, rogue wave type solutions and periodic lump-stripe interaction phenomena to a (3 + 1)-dimensional generalized breaking soliton equation

(2019) Litao Gai et al.   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

Lump and interaction solutions to the (2+1)-dimensional Burgers equation

(2018) Hui Wang   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

Diversity of interaction solutions to the (2+1)-dimensional Ito equation

(2018) Wen-Xiu Ma 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

M-lump and interactive solutions to a (3 $${+}$$+ 1)-dimensional nonlinear system

(2018) Yan Zhang et al.   NONLINEAR DYNAMICS

Interaction solutions for a reduced extended $$\mathbf{(3}\varvec{+}{} \mathbf{1)}$$(3+1)-dimensional Jimbo–Miwa equation

(2018) Yun-Hu Wang 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

Lump and Stripe Soliton Solutions to the Generalized Nizhnik-Novikov-Veselov Equation

(2018) Zheng-Yi Ma et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

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

Abundant interaction solutions of the KP equation

(2017) Jin-Yun Yang et al.   NONLINEAR DYNAMICS

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

Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

(2016) Mark J Ablowitz et al.   NONLINEARITY

Painlevé analysis, integrability and exact solutions for a (2 + 1)-dimensional generalized Nizhnik-Novikov-Veselov equation

(2016) Gui-Qiong Xu et al.   European Physical Journal Plus

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

Bäcklund transformation and multi-soliton solutions for the (3+1)-dimensional BKP equation with Bell polynomials and symbolic computation

(2015) Liu Na   NONLINEAR DYNAMICS

Madelung fluid description on a generalized mixed nonlinear Schrödinger equation

(2015) Xing Lü   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

Bilinear Equations and Resonant Solutions Characterized by Bell Polynomials

(2014) Wen-Xiu Ma   REPORTS ON MATHEMATICAL PHYSICS

Riemann theta functions periodic wave solutions and rational characteristics for the (1+1)-dimensional and (2+1)-dimensional Ito equation

(2013) Shou-Fu Tian et al.   CHAOS SOLITONS & FRACTALS

Trilinear equations, Bell polynomials, and resonant solutions

(2013) Wen-Xiu Ma   Frontiers of Mathematics in China