Abstract
In the thesis, we introduced a parameter \( \lambda^{ - 1} \) that the Cauchy integral was zero along the infinity big arc path integral according to the IST. The N-Soliton solution corresponded to solution when \( r(\lambda ) \) = 0. Then the exact N-soliton solutions of DNLS equation under the vanishing bounding condition are obtained by IST, and the exact two-soliton solutions are given as an example. In the end of paper, the 3D graphics of two soliton solution is given.
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References
Rogister A (1971) The height control modeling based on fan and air dynamics of seal air duct balloon. Phys Fluids 63:2733–2734
Steudel H (2003) Mathematical and general. J Phys A 36:1931–1946
Huang NN, Chen ZY (1990) The research on methods for evaluating benefits of oil and gas exploration invetment. J Phys A Math Gen 23:439–543
Cai H, Liu FM, Huang NN (2005) Dark multi-soliton solutions of the nonlinear Schrodinger equation with non-vanishing boundary internal. J Theor Phy 44:255–265
Kaup DJ, Newell AC (1978) An exact solution for a derivative nonlinear Schrodinger equation. J Math Phys 19:798–801
Kawata T, Kobaysahi N, Inoue H (1979) Soliton solutions of the derivative nonlinear Schrodinger equation. J Phys Soc Jpn 46:1008–1015
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© 2013 Springer-Verlag London
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Liu, Y., Xu, J. (2013). Exact Two-Soliton Solutions of DNLS Equation by IST. In: Du, W. (eds) Informatics and Management Science III. Lecture Notes in Electrical Engineering, vol 206. Springer, London. https://doi.org/10.1007/978-1-4471-4790-9_93
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DOI: https://doi.org/10.1007/978-1-4471-4790-9_93
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