High-dimensional nonlinear wave transitions and their mechanisms
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Publication:5140878
DOI10.1063/5.0019596zbMath1454.35048OpenAlexW3095941015WikidataQ103824646 ScholiaQ103824646MaRDI QIDQ5140878
Chong Liu, Yinchuan Zhao, Lei Wang, Xue Zhang, Min Li
Publication date: 17 December 2020
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0019596
Hirota bilinear methodmulti-peak solitonM-shaped soliton(2+1)-dimensional Ito equationquasi-anti-dark soliton
Initial value problems for nonlinear higher-order PDEs (35G25) Soliton solutions (35C08) Integro-partial differential equations (35R09)
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Cites Work
- Unnamed Item
- Unnamed Item
- Dynamics of the breathers, rogue waves and solitary waves in the \((2+1)\)-dimensional Ito equation
- Extend three-wave method for the \((1+2)\)-dimensional Itô equation
- Extreme waves that appear from nowhere: on the nature of rogue waves
- State transition of lump-type waves for the \((2+1)\)-dimensional generalized KdV equation
- Multiple-soliton solutions for the generalized \((1+1)\)-dimensional and the generalized \((2+1)\)-dimensional Itô equations
- New exact solutions to the \((2 + 1)\)-dimensional Ito equation: Extended homoclinic test technique
- Lump-type solutions to the \((3+1)\)-dimensional Jimbo-Miwa equation
- Rogue wave and interaction phenomenon to \((1+1)\)-dimensional Ito equation
- Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation
- Riemann theta functions periodic wave solutions and rational characteristics for the \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equation
- New solutions for \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equations
- Nonlinear waves in the modulation instability regime for the fifth-order nonlinear Schrödinger equation
- Darboux transformation and nonautonomous solitons for a modified Kadomtsev-Petviashvili equation with variable coefficients
- The generalized \((1+1)\)-dimensional and \((2+1)\)-dimensional Ito equations: multiple exp-function algorithm and multiple wave solutions
- Obliquely propagating skew KP lumps
- Interaction of multi-lumps within the Kadomtsev-Petviashvili equation
- Solitons, breathers and rogue waves of the coupled Hirota system with \(4\times 4\) Lax pair
- Degeneration of breathers in the Kadomttsev-Petviashvili I equation
- Nonautonomous motion study on accelerated and decelerated lump waves for a (3 + 1)-dimensional generalized shallow water wave equation with variable coefficients
- Evolution of initial discontinuity for the defocusing complex modified KdV equation
- Baseband modulation instability, rogue waves and state transitions in a deformed Fokas-Lenells equation
- Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
- Soliton solution of a multi-component higher-order Ito equation
- Lump solutions to the Kadomtsev-Petviashvili equation
- N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation
- Inverse Scattering Method for the Nonlinear Evolution Equations under Nonvanishing Conditions
- An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
- Nonlinear superposition formulae of the Ito equation and a model equation for shallow water waves
- The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation
- Matter rogue waves for the three-component Gross–Pitaevskii equations in the spinor Bose–Einstein condensates
- WRONSKIAN SOLUTIONS OF (2+1) DIMENSIONAL NON-LOCAL ITO EQUATION
- Superregular breathers, characteristics of nonlinear stage of modulation instability induced by higher-order effects
- Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids
- Multilump Symmetric and Nonsymmetric Gravity-Capillary Solitary Waves in Deep Water
- On the integrability of the (1+1)‐dimensional and (2+1)‐dimensional Ito equations
- N -Soliton-like Solution of Ito Equation
- Stability and dynamics of two-dimensional fully nonlinear gravity–capillary solitary waves in deep water
- Moving breathers and breather-to-soliton conversions for the Hirota equation
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