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The influence on the soliton solution by adding a small random perturbation to the initial condition is discussed. The numerical experiments are given to test the accuracy order for different schemes, respectively. We also test the conservative property of mass and Hamiltonian for these schemes from the numerical point of view.<\/jats:p>","DOI":"10.1142\/s1793962317500179","type":"journal-article","created":{"date-parts":[[2016,11,2]],"date-time":"2016-11-02T10:19:26Z","timestamp":1478081966000},"page":"1750017","source":"Crossref","is-referenced-by-count":10,"title":["High-order numerical method for the derivative nonlinear Schr\u00f6dinger equation"],"prefix":"10.1142","volume":"08","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4081-8742","authenticated-orcid":false,"given":"Shu-Cun","family":"Li","sequence":"first","affiliation":[{"name":"School of Applied Science, Beijing Information Science and Technology University, Beijing, 100192, P. R. 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