Obliquely propagating skew KP lumps
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Publication:2186140
DOI10.1016/j.wavemoti.2016.03.005zbMath1469.35191OpenAlexW2313405283MaRDI QIDQ2186140
Publication date: 9 June 2020
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.wavemoti.2016.03.005
Related Items (21)
Resonant collisions between lumps and periodic solitons in the Kadomtsev–Petviashvili I equation ⋮ Breathers, interactions between breathers and lumps for a (3 + 1)-dimensional nonlinear evolution equation for the shallow-water waves ⋮ Degenerate lump interactions within the Kadomtsev-Petviashvili equation ⋮ Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota's bilinear method ⋮ Shape-changed propagations and interactions for the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluids ⋮ The generation of symmetric and asymmetric lumps by a bottom topography ⋮ Interaction of multi-lumps within the Kadomtsev-Petviashvili equation ⋮ The explicit symmetry breaking solutions of the Kadomtsev–Petviashvili equation ⋮ Breather-to-soliton conversions and their mechanisms of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation ⋮ Solitary wave solutions, lump solutions and interactional solutions to the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili equation ⋮ Decay of Kadomtsev-Petviashvili lumps in dissipative media ⋮ Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation ⋮ Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation ⋮ Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients ⋮ High-dimensional nonlinear wave transitions and their mechanisms ⋮ From 2Mth-order Wronskian determinant solutions to Mth-order lump solutions for the (2+1)-dimensional Kadomtsev-Petviashvili I equation ⋮ Lump solutions of a (3+1)-dimensional B-type KP equation and its dimensionally reduced equations ⋮ Characteristics of the solitary waves and lump waves with interaction phenomena in a \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation ⋮ Lump molecules in fluid systems: Kadomtsev-Petviashvili I case ⋮ Nonlinear wave transitions and their mechanisms of (2+1)-dimensional Sawada-Kotera equation ⋮ State transition of lump-type waves for the \((2+1)\)-dimensional generalized KdV equation
Cites Work
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- Rational solutions to a KdV-like equation
- Interactions of solitons in nonintegrable systems: direct perturbation method and applications
- Lump solutions to the Kadomtsev-Petviashvili equation
- Solitons and rational solutions of nonlinear evolution equations
- Solutions to the Time Dependent Schrödinger and the Kadomtsev-Petviashvili Equations
- The Generation and Evolution of Lump Solitary Waves in Surface-Tension-Dominated Flows
- Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations
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