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N-Rotating Loop-Soliton Solution of the Coupled Integrable Dispersionless Equation

N-Rotating Loop-Soliton Solution of the Coupled Integrable Dispersionless Equation
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摘要 In this paper, we investigate the Rotating N Loop-Soliton solution of the coupled integrable dispersionless equation (CIDE) that describes a current-fed string within an external magnetic field in 2D-space. Through a set of independent variable transformation, we derive the bilinear form of the CIDE Equation. Based on the Hirota’s method, Perturbation technique and Symbolic computation, we present the analytic N-rotating loop soliton solution and proceed to some illustrations by presenting the cases of three- and four-soliton solutions. In this paper, we investigate the Rotating N Loop-Soliton solution of the coupled integrable dispersionless equation (CIDE) that describes a current-fed string within an external magnetic field in 2D-space. Through a set of independent variable transformation, we derive the bilinear form of the CIDE Equation. Based on the Hirota’s method, Perturbation technique and Symbolic computation, we present the analytic N-rotating loop soliton solution and proceed to some illustrations by presenting the cases of three- and four-soliton solutions.
出处 《Journal of Applied Mathematics and Physics》 2017年第6期1370-1379,共10页 应用数学与应用物理(英文)
关键词 COUPLED INTEGRABLE Dispersionless EQUATION BILINEAR Method SOLITON Solutions Perturbation Technique Symbolic Computation Coupled Integrable Dispersionless Equation Bilinear Method Soliton Solutions Perturbation Technique Symbolic Computation
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