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Title: A Study of Nonlinear Systems in Plasma by Homotopy Perturbation Method
Researcher: amit goswami
Guide(s): jagdev singh
Keywords: Physical Sciences,Physics,Physics Fluids and Plasmas
Plasma Physics, Nonlinear Systems,Korteweg-de Vries Equation, Regularized Long Wave Equation, Equal Width Equation,HPTM, HPSTM, Analytical Solution.
University: Jagannath University
Completed Date: 2019
Abstract: In this thesis, various theoretical and analytical studies have been proposed on nonlinear behavior of plasma, waves in plasma, plasma flow etc. by the many authors. They have been analyzed behavior of nonlinear wave propagation in many situations such as ion acoustic waves, magneto acoustic waves, hydromagnetic waves and also studied soliton behavior of waves. newlineThe thesis examines the nonlinear partial differential equations with given initial conditions by the application of Homotopy perturbation transform method and Homotopy perturbation sumudu transform method. The Approximate solution and comparison with exact solution with study of absolute error are studied in detail. Also solitons solution and fractional form of nonlinear partial differential equations are investigated. newlineThe research work carried out in the thesis is organized chapter wise and divided into six chapters. newlineIn chapter 0, introduction of topic of study has been presented. For this we briefly discuss the various Environments of Plasmas in Space, Plasma Approximation, Guiding Equations in Nonlinear Plasma, Waves in Nonlinear Plasma, Solitary waves and Solitons, Velocity distribution functions. Apart from that, we have presented Nonlinear Systems in Plasma, Methodology, Background and Objective of Ph. D. research work. newlineIn chapter 1, definition of Laplace transform and Homotopy perturbation transform method are presented. A third order KdV model presented for the study of nature of warm plasma. Various forms of nonlinear third order KdV equations such as general KdV equation, potential KdV equation and modified KdV equation are considered for show the applicability of HPTM. HPTM solutions, Exact solutions and Absolute errors are determined by HPTM and behavior of results obtained are represented by 3D curves. newlineIn chapter 2, a K(n, n) model for study the compactons in the plasma system has been presented. Nonlinear K(2, 2) and K(3, 3) equations are used to study the nonlinear behavior of plasma by using HPTM and find exact solutions, HPTM soluti
Appears in Departments:Faculty of Engineering and Technology

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01_title_page.pdfAttached File385.49 kBAdobe PDFView/Open
02_candidate_declaration.pdf18.5 kBAdobe PDFView/Open
03_certificate_of_the_supervisor.pdf18.55 kBAdobe PDFView/Open
05_preface.pdf24.15 kBAdobe PDFView/Open
07_chapter_0.pdf347.74 kBAdobe PDFView/Open
08_chapter_1.pdf991.63 kBAdobe PDFView/Open
09_chapter_2.pdf740.57 kBAdobe PDFView/Open
10_chapter_3.pdf1.28 MBAdobe PDFView/Open
11_chapter_4.pdf1.17 MBAdobe PDFView/Open
12_chapter_5.pdf665.29 kBAdobe PDFView/Open
13_conclusions.pdf169.36 kBAdobe PDFView/Open
14_references.pdf239.25 kBAdobe PDFView/Open
15_glossary_of_symbols.pdf171.58 kBAdobe PDFView/Open
16_list_of_publications.pdf142.28 kBAdobe PDFView/Open
17_reprint_of_research_papers.pdf1.35 MBAdobe PDFView/Open
18_annexures_for_plagiarism.pdf616.08 kBAdobe PDFView/Open

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