Optimal Research in Piano Shape Sound and Sound Propagation Model Based on Nonlinear Differential Equations

[1] Misiats O, Stanzhytskyi O, Topaloglu I. On global existence and blowup of solutions of Stochastic Keller–Segel type equation[J]. Nonlinear Differential Equations and Applications NoDEA, 2022, 29(1):1-29. Search in Google Scholar

[2] Tan Y, Shi Y, Tang Q. [Lecture Notes in Computer Science] Advances in Swarm Intelligence Volume 10942 || Optimal Shape Design of an Autonomous Underwater Vehicle Based on Gene Expression Programming[J]. 2018, 10.1007/978-3-319-93818-9(Chapter 13):132-141. Search in Google Scholar

[3] Kanagawa T. Two types of propagations of nonlinear sound beams in nonuniform bubbly liquids[J]. The Journal of the Acoustical Society of America, 2016, 140(4):3122-3122. Search in Google Scholar

[4] Murphy J, Van Hoose T. Modified scattering for a dispersion-managed nonlinear Schrdinger equation[J]. Nonlinear Differential Equations and Applications NoDEA, 2022, 29(1):1-11. Search in Google Scholar

[5] Schaum A, Jerono P, Feketa P. Robust impulsive observer design for infinite‐dimensional cell population balance models[J]. International Journal of Robust and Nonlinear Control, 2022, 32(2):774-791. Search in Google Scholar

[6] Bracken P. Connections of Zero Curvature and Applications to Nonlinear Partial Differential Equations[J]. Discrete and Continuous Dynamical Systems - Series S (DCDS-S), 2017, 7(6):1165-1179. Search in Google Scholar

[7] Al-Ghafri K S, Rezazadeh H. Solitons and other solutions of (3 + 1)-dimensional space–time fractional modified KdV–Zakharov–Kuznetsov equation[J]. Applied Mathematics and Nonlinear Sciences, 2019, 4(2): 289-304. Search in Google Scholar

[8] G. Durán-Meza, J. López-García, J.L. del Río-Correa. The self-similarity properties and multifractal analys is of DNA sequences[J]. Applied Mathematics and Nonlinear Sciences, 2019, 4(1):261-272. Search in Google Scholar

[9] Dusunceli F. New Exact Solutions for Generalized (3+1) Shallow Water-Like (SWL) Equation[J]. Applied Mathematics and Nonlinear Sciences, 2019, 4(2):365-370. Search in Google Scholar

[10] Raissi M, Karniadakis G E. Hidden Physics Models: Machine Learning of Nonlinear Partial\n, Differential Equations[J]. Journal of Computational Physics, 2018, 357:125-141. Search in Google Scholar