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Dust–Acoustic Envelope Solitons and Rogue Waves in a Magnetized Electron-Depleted Plasma
AbstractA theoretical investigation is made to study the properties of dust–acoustic (DA) waves, and corresponding dust–acoustic rogue waves (DARWs)...
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Nonlinear Wave Structures of Electron Acoustic Waves in Nonextensive Magnetized Electron–Positron–Ion Plasmas
AbstractA multicomponent collisionless magnetized plasma system consisting of cold mobile electron fluid, hot electrons and positrons following the q ...
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Propagation of the ultra-short femtosecond pulses and the rogue wave in an optical fiber
In this article, we employ the nonlinear complex conformable Kundu–Eckhaus model which represents the propagation of the ultra-short femtosecond...
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Optical soliton solutions and various breathers lump interaction solutions with periodic wave for nonlinear Schrödinger equation with quadratic nonlinear susceptibility
In this article, we cover some soliton solutions and breathers for nonlinear Schrödinger equation with quadratic nonlinear susceptibility like that...
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Benjamin-Ono equation: Rogue waves, generalized breathers, soliton bending, fission, and fusion
In this work, we construct various interesting localized wave structures of the Benjamin-Ono equation describing the dynamics of deep water waves....
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Rogue waves of the dissipative Gross–Pitaevskii equation with distributed coefficients
By introducing a suitable ansatz and employing the similarity transformation technique, we construct the first- and second-order rational solutions...
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Evolutionary behavior of various wave solutions of the (2+1)-dimensional Sharma–Tasso–Olver equation
In this paper, multiple rogue wave solutions of the (2+1)-dimensional Sharma–Tasso–Olver equation were studied by applying the bilinear neural...
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Dynamical structures of interaction wave solutions for the two extended higher-order KdV equations
In this paper, we investigate two extended higher-order KdV models (i.e., the extended Sawada–Kotera equation and the extended Lax equation), which...
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Characteristics of localized waves of multi-coupled nonlinear Schrödinger equation
We have obtained the first-order solution of a three-coupled nonlinear Schrödinger equation based on the modified Darboux transformation. In...
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Nonlinear ion acoustic rogue waves in a superthermal electron–positron–ion plasma
In this paper, the nonlinear ion acoustic rogue waves (IARWs) are investigated in an unmagnetized, collisionless plasma which consist of positive...
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Ultrashort optical pulses with nonlinear chirps in non-Kerr media exhibiting higher-order nonlinearities
We consider a higher-order nonlinear Schrödinger equation that models the evolution of ultrashort optical pulses in nonlinear media exhibiting...
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Twisted lump, lumpoff and rogue wave of the (2+1)-dimensional Kaup–Kupershmidt equation
Exact explicit rational and resonant rational–exponential solutions of the (2+1)-dimensional Kaup–Kupershmidt equation are derived by using the...
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A variety of optical wave solutions to space–time fractional perturbed Kundu–Eckhaus model with full non-linearity
In this paper, the new optical wave solutions of truncated M-fractional perturbed Kundu–Eckhaus model with full non-linearity are obtained by...
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Formation of ion acoustic rogue waves in warm dense matter
AbstractIn the current research, we use the hydrodynamic model of electron-ion plasmas with a very general Fermi–Dirac equation of state for...
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Rogue wave solutions of the chiral nonlinear Schrödinger equation with modulated coefficients
The research of rogue wave solutions of the nonlinear Schrödinger (NLS) equations is still an open topic. NLS equations have received particular...
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High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
We derive the general high-order rogue waves for the generalized (3+1)-dimensional nonlinear wave equation, which can be directed from a liquid...
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Dynamical structure and soliton solutions galore: investigating the range of forms in the perturbed nonlinear Schrödinger dynamical equation
In this paper, using the Hirota bilinear method, we investigate the perturbed Gerdjikov–Ivanov equation (PGIE) for lump soliton, rogue wave, periodic...