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On Certain Exact Solutions for Some Equations in Field Theory

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New Trends in Analysis and Interdisciplinary Applications

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

Some exact solutions (functionally invariant solutions) of self-dual Yang-Mills equations in SU(2) case, and generalized Yang’s equations, have been presented.

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Acknowledgements

The research was done within the research theme “Applying of some analytical and numerical methods for solving of the problems in quantum mechanics and field theory” (the Leader of this theme: Dr K. Rajchel). The author thanks Prof. V. Mityushev, for making possible, the participation of the author in 10th Congress ISAAC 2015. The computations were carried out by using Waterloo MAPLE Software on the High Performance Computers: “mars” (No. of grant MNiSW/ IBM_BC_HS21/AP/057/2008) in ACK-CYFRONET AGH in Kraków and “rekin” (No. of grant G 31-6) in Supercomputer Centre ICM (Interdisciplinary Centre for Mathematical and Computational Modelling in Warsaw). This research was supported in part by PL-GRID Infrastructure, too.

This paper is based on a talk delivered by the author, at 10th ISAAC 2015 Congress (Macau, China).

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  1. The Pedagogical University of Cracow, ul. Podchoraążych 2, 30-084, Kraków, Poland

    Łukasz T. Stȩpień

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  1. Łukasz T. Stȩpień
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Correspondence to Łukasz T. Stȩpień .

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  1. Faculty of Information Technology, Macau University of Science and Technology, Taipa, Macao

    Pei Dang

  2. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Min Ku

  3. Faculty of Science and Technology, Department of Mathematics, University of Macau, Taipa, Macao

    Tao Qian

  4. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

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Stȩpień, Ł.T. (2017). On Certain Exact Solutions for Some Equations in Field Theory. In: Dang, P., Ku, M., Qian, T., Rodino, L. (eds) New Trends in Analysis and Interdisciplinary Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-48812-7_42

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