New interaction phenomenon and the periodic lump wave for the Jimbo–Miwa equation

An efficient algorithm to construct multi-soliton rational solutions of the (2+ 1)-dimensional KdV equation with variable coefficients

(2018) M.S. Osman et al.   APPLIED MATHEMATICS AND COMPUTATION

Resonant multiple wave solutions to a new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation: Linear superposition principle

(2018) Fu-Hong Lin et al.   APPLIED MATHEMATICS LETTERS

Lump solutions to a (2+1)-dimensional extended KP equation

(2018) Solomon Manukure et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Lump solutions to the Kadomtsev–Petviashvili I equation with a self-consistent source

(2018) Xuelin Yong et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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 a generalized Bogoyavlensky-Konopelchenko equation

(2018) Shou-Ting Chen et al.   Frontiers of Mathematics in China

Lump solutions to nonlinear partial differential equations via Hirota bilinear forms

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

Interaction phenomenon to dimensionally reduced p-gBKP equation

(2018) Runfa Zhang et al.   MODERN PHYSICS LETTERS B

Mixed interactions of localized waves in the three-component coupled derivative nonlinear Schrödinger equations

(2018) Tao Xu et al.   NONLINEAR DYNAMICS

General high-order rogue waves to nonlinear Schrödinger–Boussinesq equation with the dynamical analysis

(2018) Xiaoen Zhang et al.   NONLINEAR DYNAMICS

Dynamics of high-order solitons in the nonlocal nonlinear Schrödinger equations

(2018) Bo Yang et al.   NONLINEAR DYNAMICS

Abundant Mixed Lump-Soliton Solutions to the BKP Equation

(2018) Jin-Yun Yang et al.   East Asian Journal on Applied Mathematics

Lump solutions of a generalized Calogero–Bogoyavlenskii–Schiff equation

(2018) Shou-Ting Chen et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A study of lump-type and interaction solutions to a (3+1)-dimensional Jimbo–Miwa-like equation

(2018) Sumayah Batwa et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Abundant lumps and their interaction solutions of (3+1)-dimensional linear PDEs

(2018) Wen-Xiu Ma   JOURNAL OF GEOMETRY AND PHYSICS

Diversity of interaction solutions to the (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like equation

(2018) Jianqing Lü et al.   MODERN PHYSICS LETTERS B

Rogue wave solutions, soliton and rogue wave mixed solution for a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation in fluids

(2018) Yu-Lan Ma et al.   MODERN PHYSICS LETTERS B

The rogue wave of the nonlinear Schrödinger equation with self-consistent sources

(2018) Yehui Huang et al.   MODERN PHYSICS LETTERS B

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

New periodic solitary wave solutions for the new (2+1)-dimensional Korteweg–de Vries equation

(2017) Ye-Zhou Li et al.   NONLINEAR DYNAMICS

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

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

Time series prediction using kernel adaptive filter with least mean absolute third loss function

(2017) Lu Lu et al.   NONLINEAR DYNAMICS

Deformation rogue wave to the (2+1)-dimensional KdV equation

(2017) Xiaoen Zhang et al.   NONLINEAR DYNAMICS

The study of lump solution and interaction phenomenon to $$\varvec{(2+1)}$$ ( 2 + 1 ) -dimensional generalized fifth-order KdV equation

(2017) Jianqing Lü et al.   NONLINEAR DYNAMICS

Lump dynamics of a generalized two-dimensional Boussinesq equation in shallow water

(2017) Xing Lü et al.   NONLINEAR DYNAMICS

A general sub-equation method to the burgers-like equation

(2017) Xiao-Min Wang et al.   Thermal Science

Lump and lump-soliton solutions to the $$(2+1)$$ ( 2 + 1 ) -dimensional Ito equation

(2017) Jin-Yun Yang et al.   Analysis and Mathematical Physics

A note on rational solutions to a Hirota-Satsuma-like equation

(2016) Xing Lü et al.   APPLIED MATHEMATICS LETTERS

Exact periodic cross-kink wave solutions for the new (2+1)-dimensional KdV equation in fluid flows and plasma physics

(2016) Jian-Guo Liu et al.   CHAOS

Soliton excitations and shape-changing collisions in alpha helical proteins with interspine coupling at higher order

(2016) Xing Lü et al.   Communications in Nonlinear Science and Numerical Simulation

Solitary waves with the Madelung fluid description: A generalized derivative nonlinear Schrödinger equation

(2016) Xing Lü et al.   Communications in Nonlinear Science and Numerical Simulation

Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation

(2016) Xing Lü et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Resonant behavior of multiple wave solutions to a Hirota bilinear equation

(2016) Li-Na Gao et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Lump-Type Solutions to the (3+1)-Dimensional Jimbo-Miwa Equation

(2016) Wen-Xiu Ma   INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

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

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

Two-mode fifth-order KdV equations: necessary conditions for multiple-soliton solutions to exist

(2016) Abdul-Majid Wazwaz   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

A direct bilinear Bäcklund transformation of a (2+1)-dimensional Korteweg–de Vries-like model

(2015) Xing Lü et al.   APPLIED MATHEMATICS LETTERS

Constructing rogue wave prototypes of nonlinear evolution equations via an extended tanh method

(2015) Zhuosheng Lü et al.   CHAOS SOLITONS & FRACTALS

Exact Periodic Wave Solution of Extended (2+1)-Dimensional Shallow Water Wave Equation with Generalized Dp̄-operators

(2015) Huan-He Dong et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Construction of rogue wave and lump solutions for nonlinear evolution equations

(2015) Zhuosheng Lü et al.   EUROPEAN PHYSICAL JOURNAL B

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

(2015) Xing Lü et al.   NONLINEAR DYNAMICS

Optical solitons with Biswas–Milovic equation for power law and dual-power law nonlinearities

(2015) M. Eslami et al.   NONLINEAR DYNAMICS

Lump solutions to dimensionally reduced $$\varvec{p}$$ p -gKP and $$\varvec{p}$$ p -gBKP equations

(2015) Wen Xiu Ma et al.   NONLINEAR DYNAMICS

Lump solutions to the Kadomtsev–Petviashvili equation

(2015) Wen-Xiu Ma   PHYSICS LETTERS A