2010
DOI: 10.1140/epjst/e2010-01234-y
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Rogue waves – towards a unifying concept?: Discussions and debates

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Cited by 104 publications
(70 citation statements)
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“…Since CNLS equation possesses Galileo symmetry, then we can set b 2 = −b 1 . It has been shown that the relative wave vector 2b 1 can induce the RW pattern transition [11].…”
Section: Generalized Darboux Transformation and Rogue Wave Formulamentioning
confidence: 99%
See 1 more Smart Citation
“…Since CNLS equation possesses Galileo symmetry, then we can set b 2 = −b 1 . It has been shown that the relative wave vector 2b 1 can induce the RW pattern transition [11].…”
Section: Generalized Darboux Transformation and Rogue Wave Formulamentioning
confidence: 99%
“…Firstly, there are some new excitation patterns for vector RW, in contrast to the well-known eye-shaped one in scalar system [1][2][3][4]. For example, dark RW was presented numerically [5] and analytically [6][7][8] for two-component coupled systems.…”
Section: Introductionmentioning
confidence: 99%
“…We present an exact rational solution on CW background of S-S model, which corresponds to Wshaped soliton and involves in the modulational stability regime [7]. It does not describe the dynamics of RW, in contrast to the rational ones of the simplified NLS, which have been used to describe RW phenomena photographically [14][15][16][17]. Its dynamics is similar with the W-shaped soliton reported in [8].…”
mentioning
confidence: 99%
“…В последнее время большое внимание стали привлекать к себе "вол-ны-убийцы" (rogue waves) или "странные волны" (freak waves) [1]. Эти волны пред-ставляют собой локальный кратковременный рост амплитуды или "волны, появля-ющиеся ниоткуда и исчезающие без следа" [2].…”
Section: Doi: 104213/mzm9343unclassified
“…Одна из теорем, доказанная в то время автором [25], исполь-зуется в п. 2 статьи для построения в эллиптических функциях семейства перио-дических двухфазных решений уравнения (1). Изображения решений, построенных в п.…”
unclassified