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10.1098/rspa.2013.0576 http://scihub22266oqcxt.onion/10.1098/rspa.2013.0576 C3928955!3928955!24711719     free     free     free Deprecated: Implicit conversion from float 217.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 217.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 217.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 217.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 217.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534       Proc+Math+Phys+Eng+Sci 2014 ; 470 (2164): ä Nephropedia Template TP {{tp|p=24711719|t=2014. Modelling rogue waves through exact dynamical lump soliton controlled by ocean currents |pdf=|usr=}}{{24711719}} gab.com Text Modelling rogue waves through exact dynamical lump soliton controlled by ocean currents JO: Proc Math Phys Eng Sci http://www.kidney.de/pget.php?&tw=1&pmid=24711719 #FOAvip Rogue waves are extraordinarily high and steep isolated waves, which appear suddenly in a calm sea and disappear equally fast. However, though the rogue waves are localized surface waves, their theoretical models and experimental observations are available mostly in one dimension, with the majority of them admitting only limited and fixed amplitude and modular inclination of the wave. We propose two dimensions, exactly solvable nonlinear Schrödinger (NLS) equation derivable from the basic hydrodynamic equations and endowed with integrable structures. The proposed two-dimensional equation exhibits modulation instability and frequency correction induced by the nonlinear effect, with a directional preference, all of which can be determined through precise analytic result. The two-dimensional NLS equation allows also an exact lump soliton which can model a full-grown surface rogue wave with adjustable height and modular inclination. The lump soliton under the influence of an ocean current appears and disappears preceded by a hole state, with its dynamics controlled by the current term. These desirable properties make our exact model promising for describing ocean rogue waves. Twit Text FOAVip Modelling rogue waves through exact dynamical lump soliton controlled by ocean currents ????Proc Math Phys Eng Sci http://www.kidney.de/pget.php?&tw=1&pmid=24711719 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=24711719 #FOAvip English Wikipedia <ref>{{Cite pmid|24711719}}</ref> Modelling rogue waves through exact dynamical lump soliton controlled by ocean currents #MMPMID24711719 Kundu A; Mukherjee A; Naskar T Proc Math Phys Eng Sci 2014[Apr]; 470 (2164): ä PMID24711719show ga Rogue waves are extraordinarily high and steep isolated waves, which appear suddenly in a calm sea and disappear equally fast. However, though the rogue waves are localized surface waves, their theoretical models and experimental observations are available mostly in one dimension, with the majority of them admitting only limited and fixed amplitude and modular inclination of the wave. We propose two dimensions, exactly solvable nonlinear Schrödinger (NLS) equation derivable from the basic hydrodynamic equations and endowed with integrable structures. The proposed two-dimensional equation exhibits modulation instability and frequency correction induced by the nonlinear effect, with a directional preference, all of which can be determined through precise analytic result. The two-dimensional NLS equation allows also an exact lump soliton which can model a full-grown surface rogue wave with adjustable height and modular inclination. The lump soliton under the influence of an ocean current appears and disappears preceded by a hole state, with its dynamics controlled by the current term. These desirable properties make our exact model promising for describing ocean rogue waves. äModelling rogue waves through exact dynamical lump soliton controlled (epmc).pdf DeepDyve Pubget Overpricing