TWO-PARAMETER DETERMINANT REPRESENTATION OF SEVENTH ORDER ROGUE WAVE SOLUTIONS OF THE NLS EQUATION

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GAILLARD PIERRE

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Journal Paper

Paper Information

Journal: JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL) Year:2013 | Volume:7 | Issue:- Page(s): 1-6

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Title

TWO-PARAMETER DETERMINANT REPRESENTATION OF SEVENTH ORDER ROGUE WAVE SOLUTIONS OF THE NLS EQUATION

Author(s)

GAILLARD PIERRE | Issue Writer Certificate

Keywords

NLS EQUATION

WRONSKIANS DETERMINANTS

PEREGRINE BREATHER

AKHMEDIEV'S SOLUTIONS

ROGUE WAVES

Abstract

We present a new representation of solutions of focusing nonlinear Schrodinger equation (NLS) equation as a quotient of two determinants. We construct families of quasi-rational solutions of the NLS EQUATION depending on two parameters, a and b. We construct, for the first time, analytical expressions of PEREGRINE BREATHER of order 7 and multi-rogue waves by deformation of parameters. These expressions make possible to understand the behavior of the solutions. In the case of the PEREGRINE BREATHER of order 7, it is shown for great values of parameters a or b the appearance of the PEREGRINE BREATHER of order 5.

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APA: Copy

GAILLARD, PIERRE. (2013). TWO-PARAMETER DETERMINANT REPRESENTATION OF SEVENTH ORDER ROGUE WAVE SOLUTIONS OF THE NLS EQUATION. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), 7(-), 1-6. SID. https://sid.ir/paper/318773/en

Vancouver: Copy

GAILLARD PIERRE. TWO-PARAMETER DETERMINANT REPRESENTATION OF SEVENTH ORDER ROGUE WAVE SOLUTIONS OF THE NLS EQUATION. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL)[Internet]. 2013;7(-):1-6. Available from: https://sid.ir/paper/318773/en

IEEE: Copy

PIERRE GAILLARD, “TWO-PARAMETER DETERMINANT REPRESENTATION OF SEVENTH ORDER ROGUE WAVE SOLUTIONS OF THE NLS EQUATION,” JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), vol. 7, no. -, pp. 1–6, 2013, [Online]. Available: https://sid.ir/paper/318773/en

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