Lump solutions with higher-order rational dispersion relations

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

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

Multiple soliton solutions for the new (2+1)-dimensional Korteweg–de Vries equation by multiple exp-function method

(2018) Jian-Guo Liu et al.   APPLIED MATHEMATICS LETTERS

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

(2018) Hui Wang   APPLIED MATHEMATICS LETTERS

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

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

M-lump solutions to a (3+1)-dimensional nonlinear evolution equation

(2018) Yan Zhang 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 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

Riemann–Hilbert problems and N-soliton solutions for a coupled mKdV system

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

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

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

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

Lumps and rogue waves of generalized Nizhnik–Novikov–Veselov equation

(2017) P. Albares et al.   NONLINEAR DYNAMICS

Abundant interaction solutions of the KP equation

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

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

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 solutions and interaction phenomenon to the third-order nonlinear evolution equation

(2017) T. C. Kofane et al.   European Physical Journal Plus

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

The new integrable symplectic map and the symmetry of integrable nonlinear lattice equation

(2016) Huanhe Dong et al.   Communications in Nonlinear Science and Numerical Simulation

Linear superposition principle of hyperbolic and trigonometric function solutions to generalized bilinear equations

(2016) Ömer Ünsal et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Symmetry analysis and reductions of the two-dimensional generalized Benney system via geometric approach

(2016) Deng-Shan Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

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

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

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

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 the BKP equation by symbolic computation

(2016) Jing-Yun Yang et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS B

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

Constructing lump solutions to a generalized Kadomtsev–Petviashvili–Boussinesq 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

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

Conservation Laws of Discrete Evolution Equations by Symmetries and Adjoint Symmetries

(2015) Wen-Xiu Ma   Symmetry-Basel

Rogue wave for the (2+1)-dimensional Kadomtsev–Petviashvili equation

(2014) Zhenhui Xu et al.   APPLIED MATHEMATICS LETTERS

Novel Wronskian Condition and New Exact Solutions to a (3 + 1)-Dimensional Generalized KP Equation

(2013) Jian-Ping Wu et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Linear superposition principle applying to Hirota bilinear equations

(2011) Wen-Xiu Ma et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Memories of Hirota's method: application to the reduced Maxwell-Bloch system in the early 1970s

(2011) P. J. Caudrey   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Lump Solutions for PDE’s: Algorithmic Construction and Classification

(2008) P G Estévez et al.   JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS