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-Advanced Models for Tsunami and Rogue Waves
Published 2012-01-01“…It is also shown that another wavelet, , matches a rogue-wave profile. This is explained in terms of a resonance wherein two small amplitude forcing waves eventually lead to a large amplitude rogue. …”
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New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation
Published 2014-01-01“…A new method, homoclinic breather limit method (HBLM), for seeking rogue wave solution of nonlinear evolution equation is proposed. …”
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Breather Positons and Rogue Waves for the Nonlocal Fokas-Lenells Equation
Published 2021-01-01“…In this paper, we investigate breather positons and higher-order rogue waves for the nonlocal Fokas-Lenells equation. …”
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Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified Asymmetry
Published 2021-01-01“…To construct fractional rogue waves, this paper first introduces a conformable fractional partial derivative. …”
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Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function
Published 2016-01-01“…The rogue waves of the nonlinear Schrödinger equation with time-dependent linear potential function are investigated by using the similarity transformation in this paper. …”
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Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation
Published 2014-01-01“…A new family of two-wave solution, rational breather wave solution, is obtained by extended homoclinic test method, and it is just a rogue wave solution. This result shows rogue wave can come from extreme behavior of breather solitary wave for (3+1)-dimensional nonlinear wave fields.…”
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Rogue Wave Solutions and Generalized Darboux Transformation for an Inhomogeneous Fifth-Order Nonlinear Schrödinger Equation
Published 2017-01-01“…Several new structures of the rogue waves are found using numerical simulation. The conclusions will be a supportive tool to study the rogue waves better.…”
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Novel Particular Solutions, Breathers, and Rogue Waves for an Integrable Nonlocal Derivative Nonlinear Schrödinger Equation
Published 2022-01-01“…We also obtain explicit breathers from a nonzero seed with constant amplitude, deduce the corresponding extended Taylor expansion, and obtain several first-order rogue wave solutions. Our results reveal several interesting phenomena which differ from those emerging from the classical DNLS equation.…”
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Rogue Wave and Multiple Lump Solutions of the (2+1)-Dimensional Benjamin-Ono Equation in Fluid Mechanics
Published 2019-01-01“…The 8-lump wave consists of a set of seven first order rogue waves and one second order rogue wave as the center. …”
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A simple model of the Draupner Wave Experiment
Published 2025-03-01Subjects: “…Rogue waves…”
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Shallow-Water Wave Dynamics: Butterfly Waves, X-Waves, Multiple-Lump Waves, Rogue Waves, Stripe Soliton Interactions, Generalized Breathers, and Kuznetsov–Ma Breathers
Published 2025-01-01Subjects: “…rogue waves…”
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Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System
Published 2019-01-01“…Lump wave and line rogue wave of the (2 + 1)-dimensional Mel’nikov system are derived by taking the ansatz as the rational function. …”
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Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV Equation
Published 2021-01-01“…The other kind of the mixed solution shows one lump interacting with two paralleled line solitary waves, in which the evolution of the lump gives rise to a two-dimensional rogue wave. This shows that these three interesting phenomena exist in the corresponding physical model.…”
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Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation
Published 2023-01-01“…The Darboux transformation (DT) and generalized DT (GDT) have played important roles in constructing multisoliton solutions, rogue wave solutions, and semirational solutions of integrable systems. …”
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Solving Fractional-Order Diffusion Equations in a Plasma and Fluids via a Novel Transform
Published 2022-01-01“…Also, the proposed method helps many plasma physicists in modeling several nonlinear structures such as solitons, shocks, and rogue waves in different plasma systems.…”
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Modulation Instability, Analytical, and Numerical Studies for Integrable Time Fractional Nonlinear Model through Two Explicit Methods
Published 2024-01-01“…For the special values of constraints, the periodic waves, lumps with cross-periodic waves, periodic rogue waves, singular soliton, bright bell shape, dark bell shape, kink and antikink shape, and periodic wave behaviors are some of the outcomes attained from the obtained analytic solutions. …”
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