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NLS equation wronskians Peregrine breather rogue waves
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作者 Pierre Gaillard mickaёl gastineau 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第2期136-144,共9页
The Peregrine breather of order eleven(P_(11) breather) solution to the focusing one-dimensional nonlinear Schrdinger equation(NLS) is explicitly constructed here. Deformations of the Peregrine breather of order... The Peregrine breather of order eleven(P_(11) breather) solution to the focusing one-dimensional nonlinear Schrdinger equation(NLS) is explicitly constructed here. Deformations of the Peregrine breather of order 11 with 20 real parameters solutions to the NLS equation are also given: when all parameters are equal to 0 we recover the famous P_(11) breather. We obtain new families of quasi-rational solutions to the NLS equation in terms of explicit quotients of polynomials of degree 132 in x and t by a product of an exponential depending on t. We study these solutions by giving patterns of their modulus in the(x; t) plane, in function of the different parameters. 展开更多
关键词 Twenty Parameters Families of Solutions to the NLS Equation and the Eleventh Peregrine Breather
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