The partial-rogue ripple solutions of nonlocal Kadomtsev-Petviashvili equation
DOI10.1016/j.physd.2023.133990OpenAlexW4388933941MaRDI QIDQ6118147
No author found.
Publication date: 23 February 2024
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2023.133990
Determinants, permanents, traces, other special matrix functions (15A15) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton solutions (35C08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Waves that appear from nowhere and disappear without a trace
- Breather, lump and \(X\) soliton solutions to nonlocal KP equation
- Semi-rational solutions for the \((2 + 1)\)-dimensional nonlocal Fokas system
- Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation
- A novel hierarchy of two-family-parameter equations: local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations
- Two \((2+1)\)-dimensional integrable nonlocal nonlinear Schrödinger equations: breather, rational and semi-rational solutions
- On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
- Focusing and defocusing mKdV equations with nonzero boundary conditions: inverse scattering transforms and soliton interactions
- Symmetry breaking solutions to nonlocal Alice-Bob Kadomtsev-Petviashivili system
- Riemann-Hilbert problems and soliton solutions of nonlocal reverse-time NLS hierarchies
- The Davey-Stewartson I equation: doubly localized two-dimensional rogue lumps on the background of homoclinic orbits or constant
- Symmetry breaking soliton, breather, and lump solutions of a nonlocal Kadomtsev-Petviashvili system
- Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions
- Higher-order rogue waves and modulation instability of the two-component derivative nonlinear Schrödinger equation
- Three-component nonlinear Schrödinger equations: modulational instability, \(N\)th-order vector rational and semi-rational rogue waves, and dynamics
- Doubly localized rogue waves on a background of dark solitons for the Fokas system
- Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons
- Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants
- Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation
- Long-time asymptotics for the spin-1 Gross-Pitaevskii equation
- Interaction of wave structure in the \(\mathcal{PT}\)-symmetric \((3+1)\)-dimensional nonlocal Mel'nikov equation and their applications
- Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
- Complex Extension of Quantum Mechanics
- The unified method: I. Nonlinearizable problems on the half-line
- The unified method: II. NLS on the half-line witht-periodic boundary conditions
- The unified method: III. Nonlinearizable problems on the interval
- Lie transformations, nonlinear evolution equations, and Painlevé forms
- Water waves, nonlinear Schrödinger equations and their solutions
- Solitons and rational solutions of nonlinear evolution equations
- Exact Solutions of an Alice-Bob KP Equation*
- Water waves and Korteweg–de Vries equations
- Decay mode solution of the two-dimensional KdV equation and the generalized Bäcklund transformation
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Alice-Bob systems, P^-T^-Ĉ symmetry invariant and symmetry breaking soliton solutions
- Integrable Nonlocal Nonlinear Equations
- Darboux Transformations and Global Explicit Solutions for Nonlocal Davey–Stewartson I Equation
- A coupled focusing-defocusing complex short pulse equation: Multisoliton, breather, and rogue wave
- Resonant collisions between lumps and periodic solitons in the Kadomtsev–Petviashvili I equation
- Multi-place physics and multi-place nonlocal systems
- Solitons and soliton molecules in two nonlocal Alice–Bob Sawada–Kotera systems
- Rogue waves and lumps on the nonzero background in the ‐symmetric nonlocal Maccari system
- Prohibitions caused by nonlocality for nonlocal Boussinesq‐KdV type systems
- General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
- Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy
- Resonant collisions of high-order localized waves in the Maccari system
- The explicit symmetry breaking solutions of the Kadomtsev–Petviashvili equation
- Algebro-geometric quasi-periodic solutions to the Satsuma-Hirota hierarchy
- Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background
- The defocusing nonlinear Schrödinger equation with a nonzero background: Painlevé asymptotics in two transition regions
This page was built for publication: The partial-rogue ripple solutions of nonlocal Kadomtsev-Petviashvili equation