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

General soliton and (semi‐)rational solutions to the nonlocal Mel'nikov equation on the periodic background

(2020) Ming Li et al.   STUDIES IN APPLIED MATHEMATICS

Multi-lump solutions of KP equation with integrable boundary via ∂¯-dressing method

(2020) V.G. Dubrovsky et al.   PHYSICA D-NONLINEAR PHENOMENA

PT-symmetric nonlocal Davey–Stewartson I equation: Soliton solutions with nonzero background

(2019) Jiguang Rao et al.   PHYSICA D-NONLINEAR PHENOMENA

Families of semi-rational solutions to the Kadomtsev-Petviashvili I equation

(2018) Wei Liu et al.   Communications in Nonlinear Science and Numerical Simulation

Decay of Kadomtsev–Petviashvili lumps in dissipative media

(2018) S. Clarke et al.   PHYSICA D-NONLINEAR PHENOMENA

Dynamics of lumps and dark–dark solitons in the multi-component long-wave–short-wave resonance interaction system

(2018) Jiguang Rao et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Interaction of multi-lumps within the Kadomtsev–Petviashvili equation

(2018) Wencheng Hu et al.   WAVE MOTION

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

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

Semi-rational solutions for the (3+1)-dimensional Kadomtsev–Petviashvili equation in a plasma or fluid

(2018) Yu-Qiang Yuan et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Semi-rational solutions for a $$(2+1)$$(2+1)-dimensional Davey–Stewartson system on the surface water waves of finite depth

(2018) Yan Sun et al.   NONLINEAR DYNAMICS

Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems

(2017) Shihua Chen et al.   Journal of Physics A-Mathematical and Theoretical

Abundant interaction solutions of the KP equation

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

Fredholm and Wronskian representations of solutions to the KPI equation and multi-rogue waves

(2016) Pierre Gaillard   JOURNAL OF MATHEMATICAL PHYSICS

Rational solutions to two- and one-dimensional multicomponent Yajima–Oikawa systems

(2015) Junchao Chen et al.   PHYSICS LETTERS A

Lump solutions to the Kadomtsev–Petviashvili equation

(2015) Wen-Xiu Ma   PHYSICS LETTERS A

Dynamics of rogue waves in the Davey–Stewartson II equation

(2013) Yasuhiro Ohta et al.   Journal of Physics A-Mathematical and Theoretical

Multi-rogue waves solutions: from the NLS to the KP-I equation

(2013) P Dubard et al.   NONLINEARITY

Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev–Petviashvili Equations

(2012) C. Klein et al.   JOURNAL OF NONLINEAR SCIENCE

Nonlinear shallow ocean-wave soliton interactions on flat beaches

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

Rogue waves in the Davey-Stewartson I equation

(2012) Yasuhiro Ohta et al.   PHYSICAL REVIEW E

Solitons and collapses: two evolution scenarios of nonlinear wave systems

(2012) Vladimir E Zakharov et al.   PHYSICS-USPEKHI

General high-order rogue waves and their dynamics in the nonlinear Schrodinger equation

(2012) Y. Ohta et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

On existence of a parameter-sensitive region: quasi-line soliton interactions of the Kadomtsev–Petviashvili I equation

(2011) Masayoshi Tajiri et al.   Journal of Physics A-Mathematical and Theoretical

Classification of the line-soliton solutions of KPII

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