Completely resonant collision of lumps and line solitons in the Kadomtsev–Petviashvili I equation
From MaRDI portal
Publication:5159571
DOI10.1111/sapm.12417zbMath1476.35081OpenAlexW3176084428MaRDI QIDQ5159571
No author found.
Publication date: 28 October 2021
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1111/sapm.12417
Kadomtsev-Petviashvili I equationsemirational solutionKadomtsev-Petviashvili hierarchy reduction methodresonant collision
Related Items (24)
Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation ⋮ Resonant collisions between lumps and periodic solitons in the Kadomtsev–Petviashvili I equation ⋮ Pattern transformation in higher-order lumps of the Kadomtsev-Petviashvili I equation ⋮ The Davey-Stewartson I equation: doubly localized two-dimensional rogue lumps on the background of homoclinic orbits or constant ⋮ \(M\)-lump solution, semirational solution, and self-consistent source extension of a novel \(( 2 + 1)\)-dimensional KdV equation ⋮ Resonant collision of lumps with homoclinic orbits in the two-dimensional multi-component long-wave-short-wave resonance interaction systems ⋮ Dynamics of rogue lumps on a background of two-dimensional homoclinic orbits in the Fokas system ⋮ Rogue waves in (2+1)-dimensional three-wave resonant interactions ⋮ Degenerate lump interactions within the Kadomtsev-Petviashvili equation ⋮ Space-curved resonant solitons and interaction solutions of the \((2+1)\)-dimensional Ito equation ⋮ Integrability and high-order localized waves of the (4 + 1)-dimensional nonlinear evolution equation ⋮ General higher—order breathers and rogue waves in the two‐component long‐wave–short‐wave resonance interaction model ⋮ Dynamics of the rogue lump in the asymmetric Nizhnik–Novikov–Veselov system ⋮ Rare decaying ripple solutions within the KP equation ⋮ Resonantly interacting lump chains in the Mel'nikov equation ⋮ Dynamics of mixed lump-soliton for an extended (2+1)-dimensional asymmetric Nizhnik–Novikov–Veselov equation ⋮ Multiple lump molecules and interaction solutions of the Kadomtsev–Petviashvili I equation ⋮ Interaction structures of multi localized waves within the Kadomtsev-Petviashvili I equation ⋮ Sasa-Satsuma type matrix integrable hierarchies and their Riemann-Hilbert problems and soliton solutions ⋮ Some exact solutions to generalized Kadomtsev-Petviashvili equation ⋮ Unnamed Item ⋮ Dynamics of transformed nonlinear waves in the (3+1)-dimensional B-type Kadomtsev-Petviashvili equation. I: Transitions mechanisms ⋮ Lump molecules in fluid systems: Kadomtsev-Petviashvili I case ⋮ Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions
This page was built for publication: Completely resonant collision of lumps and line solitons in the Kadomtsev–Petviashvili I equation
