363 research outputs found

    Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion

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    We study peakon, cuspon, compacton, and loop solutions for the three-dimensional Kadomtsev-Petviashvili equation (3DKP(3,2) equation) with nonlinear dispersion. Based on the method of dynamical systems, the 3DKP(3,2) equation is shown to have the parametric representations of the solitary wave solutions such as peakon, cuspon, compacton, and loop solutions. As a result, the conditions under which peakon, cuspon, compacton, and loop solutions appear are also given

    Editorial: Novel Technologies for Sustainable and Energy-efficient Flow Photochemistry

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    Due to the development of novel light-sources, methodologies and technologies, photochemistry has seen a remarkable renaissance in academia and industry. Many photochemical investigations are now routinely performed under continuous-flow conditions in purpose-designed reactors. Successful examples of pre-industrial applications have subsequently been developed and realized. Likewise, photocalytic materials can be easily incorporated into reactor channels, thus further advancing the potential of flow-photochemistry. This Research Topic comprises of four submissions and highlights recent achievements in photochemical research
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