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Article
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 \((2+1)\) ...
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Article
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 ...
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Article
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...
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Article
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...
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Article
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...
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Article
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...