Resonantly interacting lump chains in the Mel'nikov equation

Vector breathers in the Manakov system

(2023) Andrey Gelash et al.   STUDIES IN APPLIED MATHEMATICS

Creation of weakly interacting lumps by degeneration of lump chains in the KP1 equation

(2023) Zhao Zhang et al.   CHAOS SOLITONS & FRACTALS

Resonant collisions between lumps and periodic solitons in the Kadomtsev–Petviashvili I equation

(2022) Jiguang Rao et al.   JOURNAL OF MATHEMATICAL PHYSICS

Pattern Transformation in Higher-Order Lumps of the Kadomtsev–Petviashvili I Equation

(2022) Bo Yang et al.   JOURNAL OF NONLINEAR SCIENCE

Three types of Darboux transformation and general soliton solutions for the space-shifted nonlocal PT symmetric nonlinear Schrödinger equation

(2022) Xin Wang et al.   APPLIED MATHEMATICS LETTERS

Degenerate lump interactions within the Kadomtsev–Petviashvili equation

(2022) Zhao Zhang et al.   Communications in Nonlinear Science and Numerical Simulation

Multi-lump formations from lump chains and plane solitons in the KP1 equation

(2022) Zhao Zhang et al.   NONLINEAR DYNAMICS

Degenerate lump wave solutions of the Mel’nikov equation

(2022) Xiangyu Yang et al.   NONLINEAR DYNAMICS

Peculiarities of resonant interactions of lump chains within the KP1 equation

(2022) Zhao Zhang et al.   PHYSICA SCRIPTA

Lump chains in the KP‐I equation

(2021) Charles Lester et al.   STUDIES IN APPLIED MATHEMATICS

Completely resonant collision of lumps and line solitons in the Kadomtsev–Petviashvili I equation

(2021) Jiguang Rao et al.   STUDIES IN APPLIED MATHEMATICS

A new class of nonlinear superposition between lump waves and other waves for Kadomtsev–Petviashvili I equation

(2021) Zhao Zhang et al.   Communications in Nonlinear Science and Numerical Simulation

Dynamics of KPI lumps

(2021) Sarbarish Chakravarty et al.   Journal of Physics A-Mathematical and Theoretical

Resonant collisions among two-dimensional localized waves in the Mel’nikov equation

(2021) Yinshen Xu et al.   NONLINEAR DYNAMICS

Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell–Bloch equations

(2021) Xin Wang et al.   Communications in Nonlinear Science and Numerical Simulation

Dynamics of interaction between lumps and solitons in the Mel’nikov equation

(2020) Jiguang Rao et al.   Communications in Nonlinear Science and Numerical Simulation

Cauchy matrix structure of the Mel’nikov model of long–short wave interaction

(2020) Hong-Juan Tian et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

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 nonlinear partial differential equations via Hirota bilinear forms

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

Rogue wave and a pair of resonance stripe solitons to KP equation

(2018) Xiaoen Zhang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Optical Kerr Spatiotemporal Dark-Lump Dynamics of Hydrodynamic Origin

(2016) Fabio Baronio et al.   PHYSICAL REVIEW LETTERS

Nonlinear shallow ocean-wave soliton interactions on flat beaches

(2012) Mark J. Ablowitz et al.   PHYSICAL REVIEW E

Structure of vortex shedding past potential barriers moving in a Bose-Einstein condensate

(2010) V. A. Mironov et al.   JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS

Gravity-Capillary Lumps Generated by a Moving Pressure Source

(2009) James Diorio et al.   PHYSICAL REVIEW LETTERS

Classification of the line-soliton solutions of KPII

(2008) Sarbarish Chakravarty et al.   Journal of Physics A-Mathematical and Theoretical