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Journal Article
Journal Article
Nonlinear Processes in Geophysics, ISSN 1023-5809, 2004, Volume 11, Issue 5-6, pp. 631 - 645
This paper presents a review of recent progress in nonlinear kinetic Alfven wave (KAW hereafter). We start with the two-fluid theory of KAWs and show how the... 
GEOCHEMISTRY & GEOPHYSICS | PARTICLE-ACCELERATION | LOW-BETA-PLASMA | SOLITARY WAVES | TEMPERATURE | 3-DIMENSIONAL STABILITY | IONOSPHERE | ION-ACOUSTIC-WAVES | HIGH-LATITUDE | DOUBLE-LAYERS | AURORAL ELECTRON ACCELERATION | Earth Sciences | Sciences of the Universe | Astrophysics | Cosmology and Extra-Galactic Astrophysics | Physics
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 01/2019, Volume 33, Issue 1, p. 1850426
Long-wave–short-wave resonance interaction (LSRI) equations have been studied in the plasmas, gravity waves, nonlinear electron-plasma and ion-acoustic waves.... 
Interaction | Long-wave-short-wave resonance interaction equations | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | SOLITONS | long-wave-short-wave resonance interaction equations | PHYSICS, MATHEMATICAL | MODULATION
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 10/2019, Volume 33, Issue 29, p. 1950353
Under investigation in this work is a generalized nonlinear equation, which can be widely applied to describe various phenomena in nonlinear physical science... 
SYSTEM | PHYSICS, CONDENSED MATTER | breather waves | PHYSICS, APPLIED | LUMP SOLUTIONS | Generalized nonlinear equation | DIFFERENTIAL-EQUATIONS | PHYSICS, MATHEMATICAL | BACKLUND TRANSFORMATION | Bell's polynomial | SOLITONS | solitary waves | rogue waves | CONSERVATION-LAWS | RATIONAL CHARACTERISTICS | Water waves | Analysis
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2017, Volume 50, Issue 46, p. 463001
This review is dedicated to recent progress in the active field of rogue waves, with an emphasis on the analytical prediction of versatile rogue wave... 
modulation instability | rogue wave | integrable turbulence | PHYSICS, MULTIDISCIPLINARY | DAVEY-STEWARTSON EQUATION | BI-HAMILTONIAN STRUCTURES | PETVIASHVILI-I EQUATION | DARK SOLITONS | SCHRODINGER-EQUATION | SELF-FREQUENCY SHIFT | OPTICAL SOLITONS | PHYSICS, MATHEMATICAL | KADOMTSEV-PETVIASHVILI | PEREGRINE SOLITARY WAVES
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 8/2019, Volume 370, Issue 1, pp. 1 - 48
We study the nonlinear equations of motion for equatorial wave–current interactions in the physically realistic setting of azimuthal two-dimensional inviscid... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | WATER-WAVES | CURL | SOLITARY WAVES | INTERNAL WAVES | PACIFIC | DIVERGENCE | PHYSICS, MATHEMATICAL | Analysis | Wave propagation
Journal Article
Numerical Methods for Partial Differential Equations, ISSN 0749-159X, 05/2019, Volume 35, Issue 3, pp. 993 - 1007
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 1/2018, Volume 91, Issue 2, pp. 995 - 999
Using a uniform algebraic method, new exact solitary wave solutions and periodic wave solutions for 2D Ginzburg–Landau equation are obtained. Moreover,... 
35B | Engineering | Vibration, Dynamical Systems, Control | 2D Ginzburg–Landau equation | Classical Mechanics | Automotive Engineering | 35Q53 | Mechanical Engineering | Uniform algebraic method | 35Q51 | 37K10 | MECHANICS | SOLITONS | 2D Ginzburg-Landau equation | BIFURCATIONS | ENGINEERING, MECHANICAL | TRAVELING-WAVES | Solitary waves
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 09/2017, Volume 58, Issue 9, p. 91502
A highly nonlinear, fourth-order wave equation that models the continuum theory of long wavelength pulses in weakly compressed, homogeneous, discrete chains... 
BACKSCATTERING | PARTIAL-DIFFERENTIAL EQUATIONS | DIRECT CONSTRUCTION METHOD | DYNAMICS | MEDIA | GRANULAR COLUMNS | IMPURITIES | PHYSICS, MATHEMATICAL | QUARTZ BEADS | PROPAGATION | SOLITON-LIKE PULSES | Conservation laws | Nonlinear equations | Amplitudes | Energy use | Energy conservation | Differential equations | Wave equations | Traveling waves | Chains | Mathematical models | Solitary waves
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 2018, Volume 474, Issue 2209, p. 20170627
General semi-rational solutions of an integrable multi-component (2 + 1)-dimensional long-waveshort- wave resonance interaction system comprising multiple... 
Bilinear method | Long-wave–short-wave resonance interaction system | Lumps | long-wave-short-wave resonance interaction system | bilinear method | EQUATION | MULTIDISCIPLINARY SCIENCES | lumps | LINE SOLITON | 1008 | long-wave–short-wave resonance interaction system | 120
Journal Article
Physics Letters A, ISSN 0375-9601, 2007, Volume 361, Issue 6, pp. 523 - 528
Dusty plasmas exist almost everywhere in the Universe and relevant nonlinear studies are encouragingly going to non-planar geometry. On our recent construction... 
TRUNCATED PAINLEVE EXPANSION | AUTO-BACKLUND TRANSFORMATION | PLASMA | INSTABILITY | SOLITARY WAVES | PARTICLES | PHYSICS, MULTIDISCIPLINARY | OPTICAL-FIBERS | IONIZATION | NONLINEAR SCHRODINGER MODEL | INSTRUMENTS
Journal Article
JOURNAL OF FLUID MECHANICS, ISSN 0022-1120, 11/2019, Volume 878, pp. 481 - 501
Journal Article
JOURNAL OF FLUID MECHANICS, ISSN 0022-1120, 12/2019, Volume 880, pp. 799 - 830
Oceanic internal waves can be decomposed into an infinite set of modes, and the dominant internal mode 1 waves have been extensively investigated. Although... 
MECHANICS | EVOLUTION | solitary waves | topographic effects | internal waves | PHYSICS, FLUIDS & PLASMAS | OCEAN | LOCAL GENERATION | SHELF | FLOW | LONG | Thickness | Amplitude | Pycnocline | Amplitudes | Laboratories | Theory | Topography | Density stratification | Wave amplitude | Waves | Internal waves | Ocean currents
Journal Article