The Interaction and Degeneracy of Mixed Solutions for Derivative Nonlinear Schrödinger Equation - Journal of Applied Mathematics and Physics

JAMP > Vol.7 No.11, November 2019

Journal of Applied Mathematics and Physics

Volume 7, Issue 11 (November 2019)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

The Interaction and Degeneracy of Mixed Solutions for Derivative Nonlinear Schrödinger Equation ()

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DOI: 10.4236/jamp.2019.711180 616 Downloads 1,260 Views Citations

Author(s)

Zhen Wu, Shuwei Xu^*, Tingwang Wu, Haoqi Zhou

Affiliation(s)

College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing, China.

ABSTRACT

The mixed solutions of the derivative nonlinear Schrödinger equation from the trivial seed (zero solution) are derived by using the determinant representation. By adjusting the interaction and degeneracy of mixed solutions, it is possible to obtain different types of solutions: phase solutions, breather solutions, phase-breather solutions and rogue waves.

KEYWORDS

Derivative Nonlinear Schrödinger Equation, Mixed Solutions, Phase Solutions, Breather Solutions, Rogue Waves

Share and Cite:

Wu, Z. , Xu, S. , Wu, T. and Zhou, H. (2019) The Interaction and Degeneracy of Mixed Solutions for Derivative Nonlinear Schrödinger Equation. Journal of Applied Mathematics and Physics, 7, 2650-2657. doi: 10.4236/jamp.2019.711180.

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