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    Painlevé analysis, auto-Bäcklund transformations, bilinear form and analytic solutions on some nonzero backgrounds for a \((2{+}1)\) -dimensional generalized nonlinear evolution system in fluid mechanics and plasma physics

    Fluid mechanics concerns the mechanisms of liquids, gases and plasmas and the forces on them. We aim to investigate a \((2+1)\) ...

    Tian-Yu Zhou, Bo Tian, Yuan Shen, Chong-Dong Cheng in Nonlinear Dynamics (2024)

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    Localized waves of the higher-order nonlinear Schrödinger-Maxwell-Bloch system with the sextic terms in an erbium-doped fiber

    In this paper, we concentrate on the higher-order nonlinear Schrödinger-Maxwell-Bloch system with the sextic terms, which could characterize the ultra-short optical pulses in an erbium-doped fiber. Proceeding ...

    Yuan Shen, Bo Tian, Tian-Yu Zhou, Chong-Dong Cheng in Nonlinear Dynamics (2024)

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    N-soliton, Mth-order breather, Hth-order lump, and hybrid solutions of an extended (3+1)-dimensional Kadomtsev-Petviashvili equation

    Investigated in this paper is an extended (3+1)-dimensional Kadomtsev-Petviashvili equation. We determine the N-soliton solutions of that equation via an existing bilinear form, and then construct the Mth-order b...

    Yuan Shen, Bo Tian, Chong-Dong Cheng, Tian-Yu Zhou in Nonlinear Dynamics (2023)

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    Bilinear form and Pfaffian solutions for a (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt system in fluid mechanics and plasma physics

    In this paper, a (2+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics and plasma physics is investigated. Bilinear form under certain coefficient constraints is give...

    Chong-Dong Cheng, Bo Tian, Yuan Shen, Tian-Yu Zhou in Nonlinear Dynamics (2023)

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    Bilinear form, soliton, breather, hybrid and periodic-wave solutions for a (3+1)-dimensional Korteweg–de Vries equation in a fluid

    Fluids are studied in such disciplines as atmospheric science, oceanography and astrophysics. In this paper, we investigate a (3+1)-dimensional Korteweg–de Vries equation in a fluid. Bilinear form and N-soliton s...

    Chong-Dong Cheng, Bo Tian, Chen-Rong Zhang, **n Zhao in Nonlinear Dynamics (2021)

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    Correlation analysis of factors influencing the electronic unit pump cycle fuel injection quantity under overall operating conditions for diesel engines

    Electronic unit pump (EUP) can satisfy both diesel engine emission legislation and fuel economy by improving injection pressure and numerical control. Fluctuations in cycle fuel injection quantity (CFIQ) of EU...

    Yao Chong, Fan Li-yun, Dong Quan in Journal of Mechanical Science and Technolo… (2012)