Evolution behaviour of kink breathers and lump-$$\pmb {M}$$-solitons ($$\pmb {M\rightarrow \infty }$$) for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation

Rogue wave solutions and the bright and dark solitons of the (3+1)-dimensional Jimbo–Miwa equation

(2021) Run-Fa Zhang et al.   NONLINEAR DYNAMICS

N-soliton solution of a combined pKP-BKP equation

(2021) Wen-Xiu Ma   JOURNAL OF GEOMETRY AND PHYSICS

Some new dynamical behaviour of double breathers and lump-N-solitons for the Ito equation

(2020) Wei Tan   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation

(2019) Run-Fa Zhang et al.   NONLINEAR DYNAMICS

State transition of lump-type waves for the (2+1)-dimensional generalized KdV equation

(2019) Chuanjian Wang et al.   NONLINEAR DYNAMICS

Fissionable wave solutions, lump solutions and interactional solutions for the (2+1)-dimensional Sawada-Kotera equation

(2019) Aihua Chen et al.   PHYSICA SCRIPTA

Dynamics of multi-breathers, N-solitons and M-lump solutions in the (2+1)-dimensional KdV equation

(2019) Wei Tan et al.   NONLINEAR DYNAMICS

Dynamics of kink solitary waves and lump waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq equation

(2019) Hui Wang et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Evolutionary behavior of breathers and interaction solutions with M-solitons for (2+1)-dimensional KdV system

(2019) Wei Tan et al.   APPLIED MATHEMATICS LETTERS

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 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

Characteristics of the solitary waves and rogue waves with interaction phenomena in a (2 + 1)-dimensional Breaking Soliton equation

(2018) Md. Belal Hossen et al.   PHYSICS LETTERS A

Analysis on lump, lumpoff and rogue waves with predictability to the (2 + 1)-dimensional B-type Kadomtsev–Petviashvili equation

(2018) Wei-Qi Peng 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 soliton, mixed lump stripe and periodic lump solutions of a (2 + 1)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation

(2017) Zhonglong Zhao et al.   MODERN PHYSICS LETTERS B

Rogue waves and lump solitons for a -dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics

(2017) Yan Sun et al.   Waves in Random and Complex Media

Lump Solution of (2+1)-Dimensional Boussinesq Equation

(2016) Hong-Cai Ma et al.   COMMUNICATIONS IN THEORETICAL 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

On multidimensional solitons and their legacy in contemporary Atomic, Molecular and Optical physics

(2016) Boris Malomed et al.   JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS

Lump solutions to the ( $$\mathbf 2+1 $$ 2 + 1 )-dimensional Sawada–Kotera equation

(2016) Hai-Qiang Zhang et al.   NONLINEAR DYNAMICS

Dynamics of kinky wave for ( $$3+1$$ 3 + 1 )-dimensional potential Yu–Toda–Sasa–Fukuyama equation

(2016) Wei Tan et al.   NONLINEAR DYNAMICS

Spatiotemporal deformation of multi-soliton to (2 + 1)-dimensional KdV equation

(2015) Jun Liu et al.   NONLINEAR DYNAMICS

Spatiotemporal deformation of lump solution to (2+1)-dimensional KdV equation

(2015) Chuanjian Wang   NONLINEAR DYNAMICS

Rogue Waves and New Multi-wave Solutions of the (2+1)-Dimensional Ito Equation

(2015) Ying-hui Tian et al.   ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES

Inclined periodic homoclinic breather and rogue waves for the (1+1)-dimensional Boussinesq equation

(2014) ZHENGDE DAI et al.   PRAMANA-JOURNAL OF PHYSICS

The Peregrine soliton in nonlinear fibre optics

(2010) B. Kibler et al.   Nature Physics