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Vector dark-bright second-order rogue wave and triplets for a (3+1)-dimensional CNLSE with the partially nonlocal nonlinearity
The excitation management of rogue waves were extensively reported, and yet the excitation management of different vector high-order rogue wave...
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Manipulating matter rogue waves in Bose–Einstein condensates trapped in time-dependent complicated potentials
Under some constraints, we build exact and approximate first- and second-order rogue wave (RW) solutions with two control and one free parameters for...
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Volumes of second-order rogue waves of the infinite NLS hierarchy
We analyze first- and second-order rogue waves of the equations in the nonlinear Schrödinger equation (NLS) hierarchy. A physical phenomenon may be...
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Location controllable rogue wave and mixed interaction solutions on the sine-cosine function period background for the Heisenberg ferromagnetic equation
Under consideration is the Heisenberg ferromagnetic equation, which can describe the motion of the magnetic vector of isotropic ferromagnetism....
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Rogue and semi-rogue waves defined by volume
We define a quantized nonlinear pulse ‘volume’. This then allows us to determine the characteristic of a possible rogue wave by looking at its...
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Non-collisional dynamics of (2+1)-dimensional Broer-Kaup-Kupershmidt system
In this communication, the (2+1)-dimensional Broer-Kaup-Kupershmidt (BKK) system is studied. With the aid of Painlevé Bäcklund transformation method,...
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The 3-wave resonant interaction model: spectra and instabilities of plane waves
The three wave resonant interaction model (3WRI) is a non-dispersive system with quadratic coupling between the components that finds application in...
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Painlevé analysis and new class of novel solutions for (2+1)-dimensional 3-component coupled nonlinear Maccari’s system
In this work, Painlevé analysis is used to examine the integrability of the (2+1)-dimensional 3-component coupled nonlinear Maccari’s system....
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3D bright-bright Peregrine triple-one structures in a nonautonomous partially nonlocal vector nonlinear Schrödinger model under a harmonic potential
Similar dynamical properties of coupled solitons have been heavily reported in previous literatures. This paper focuses on the different excitation...
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Generalized coupled Fokas–Lenells equation: modulation instability, conservation laws, and interaction solutions
This paper focuses on the modulation instability, conservation laws, and interaction solutions of the generalized coupled Fokas–Lenells equation....
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Four-wave interactions: islands of stability surrounded by instability
The nonlinear interaction of four-wave trains in dispersive system without dissipation is studied based on Hamiltonian description for wave–wave...
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Excitation manipulation of three-dimensional completely localized rogue waves in a partially nonlocal and inhomogeneous nonlinear medium
We study a (2 + 1)-dimensional variable-coefficient-coupled partially nonlocal nonlinear Schrödinger equation with nonlinearities localized in x and y ...
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Talbot carpets by rogue waves of extended nonlinear Schrödinger equations
We present analytical and numerical double-periodic solutions of the one-dimensional nonlinear Schrödinger equation and its extended versions in the...
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Two-breather solutions for the class I infinitely extended nonlinear Schrödinger equation and their special cases
We derive the two-breather solution of the class I infinitely extended nonlinear Schrödinger equation. We present a general form of this...
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Generalized Darboux transformation and parameter-dependent rogue wave solutions to a nonlinear Schrödinger system
In this work, we are concerned with a generalized nonlinear Schrödinger equation, which can describe the propagation of nonlinear wave phenomena in...
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Higher-order rogue wave solutions of a general coupled nonlinear Fokas–Lenells system
In this paper, we construct a generalized Darboux transformation (DT) of the general coupled nonlinear Fokas–Lenells system. And using this...
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Bispectral mode decomposition of nonlinear flows
Triadic interactions are the fundamental mechanism of energy transfer in fluid flows. This work introduces bispectral mode decomposition as a direct...
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Recurrence behavior for controllable excitation of rogue waves in a two-dimensional \(\varvec{\mathcal {PT}}\)-symmetric coupler
A (2 + 1)-dimensional variable-coefficient coupled nonlinear Schrödinger equation with different diffractions in parity-time symmetric coupler is...
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Systematic generation of higher-order solitons and breathers of the Hirota equation on different backgrounds
We investigate the systematic generation of higher-order solitons and breathers of the Hirota equation on different backgrounds. The Darboux...
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Propagation properties of optical soliton in an erbium-doped tapered parabolic index nonlinear fiber: soliton control
In this paper, with the aid of symbolic computation, we investigate the generalized nonlinear Schrödinger Maxwell–Bloch equation, which describes the...
