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Transformations for a generalized variable-coefficient nonlinear Schrödinger...

Abstract. Describing space and laboratory plasmas, arterial mechanics and optical fibers, a generalized variable-coefficient nonlinear Schrödinger model is hereby under investigation. Four...

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Solitons and their collisions in the spinor Bose–Einstein condensates

AbstractUnder investigation in this paper is a system of three-component Gross–Pitaevskii equations, which can describe the dynamics of F=1 spinor Bose–Einstein condensates in one dimension. By...

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Soliton collisions and integrable aspects of the fifth-order Korteweg-de...

Abstract The fifth-order Korteweg-de Vries (KdV) equation works as a model for the shallow water waves with surface tension. Through symbolic computation, binary Bell-polynomial approach and auxiliary...

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Characterizations on Mechanical Properties and In Vitro Bioactivity of...

AbstractTo alleviate the bio-inert of Ti alloys as hard tissue implants, Ti–35Nb–7Zr–xCPP (calcium pyrophosphate, x = 5, 10, 15, 20 wt%) composites were prepared by mechanical alloying (MA) and...

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Comment on “Bilinear form, solitons, breathers and lumps of a $$(3+1)$$ ( 3 +...

AbstractOf current interest, the paper commented [i.e., Eur. Phys. J. Plus (2020) 135:272] has investigated the \((3+1)\)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation in...

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Long waves in oceanic shallow water: Symbolic computation on the bilinear...

AbstractFor the Earth, water is at the core of sustainable development and at the heart of adaptation to climate change. For the Enceladus, the sixth-largest moon of the Saturn, Cassini spacecraft...

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Viewing the Solar System via a variable-coefficient nonlinear dispersive-wave...

AbstractOceans crossing the Solar System attract people’s attention: the Earth, Enceladus, and Titan. On a variable-coefficient nonlinear dispersive-wave system for the shallow oceanic environment, our...

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Soliton, multiple-lump and hybrid solutions of a (2+1)-dimensional...

AbstractIn this paper, a (2+1)-dimensional generalized Hirota-Satsuma-Ito equation for the water waves is investigated. We obtain the N-soliton solutions according to the bilinear form. The M-lump...

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Bilinear form, bilinear auto-Bäcklund transformation, breather and lump...

AbstractTwo-layer fluids are seen in fluid mechanics, thermodynamics and medical sciences. Lattices are seen in solid-state physics. In a two-layer liquid or a lattice, a (\(3+1\))-dimensional...

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Looking at an open sea via a generalized $$(2+1)$$ ( 2 + 1 ) -dimensional...

AbstractOceanic water-wave studies are attractive. Hereby, with a view to modelling the nonlinear and dispersive long gravity waves in two horizontal directions on the shallow water of an open sea or a...

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In the Atmosphere and Oceanic Fluids: Scaling Transformations, Bilinear...

AbstractThe atmosphere is an evolutionary agent essential to the shaping of a planet, while in oceanic science and daily life, liquids are commonly seen. In this paper, we investigate a generalized...

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Comment on “Bilinear Bäcklund transformation, soliton and periodic wave...

AbstractIn this Comment, several enhancements on the results in the paper “Bilinear Bäcklund transformation, soliton and periodic wave solutions for a (3+1)-dimensional variable-coefficient generalized...

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Hetero-Bäcklund Transformation, Bilinear Forms and N Solitons for a...

AbstractKorteweg-de Vries-type models attract people’s attention during the studies on the cosmic plasmas, planetary oceans and atmospheres. In this paper, on a generalized three-coupled Korteweg-de...

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Lax pair, solitons, breathers and modulation instability of a three-component...

AbstractPlasmas are of current interest, supporting some nonlinear phenomena. In this paper, we investigate a three-component coupled derivative nonlinear Schrödinger system for a certain plasma. With...

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Lax pair, Darboux transformation, breathers and rogue waves of an $$\pmb...

AbstractOptical fibers are used in communication, biological sensors and chemical sensors. Plasma is considered to be the most abundant common form of matter in the Universe, supporting some phenomena....

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In nonlinear optics, fluid mechanics, plasma physics or atmospheric science:...

AbstractStudies in nonlinear optics, fluid mechanics, plasma physics and atmospheric science are of current interest. In nonlinear optics, fluid mechanics, plasma physics or atmospheric science, we...

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Auto-Bäcklund Transformation, Similarity Reductions and Solitons of an...

AbstractBurgers-type equations are seen in cosmology, hydrodynamics, plasma physics, hurricane dynamics, statistical dynamics, traffic modelling, etc. For an extended (\(2+1\))-dimensional coupled...

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Bilinear Auto-Bäcklund Transformations and Similarity Reductions for a...

AbstractRecent investigations on the liquids and lattices are both active. In this paper, with symbolic computation, we consider a (3+1)-dimensional generalized Yu-Toda-Sasa-Fukuyama system for the...

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Retraction Note: In nonlinear optics, fluid mechanics, plasma physics or...

The Publisher and the Editors in Chief have retracted this article because it was inadvertently published. All of the authors agree to this retraction. The online version of this article contains the...

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In nonlinear optics, fluid mechanics, plasma physics or atmospheric science:...

AbstractStudies in nonlinear optics, fluid mechanics, plasma physics and atmospheric science are of current interest. In nonlinear optics, fluid mechanics, plasma physics or atmospheric science, we...

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