The Image Of First Order Rogue Wave With Specific Parameters

The Image Of First Order Rogue Wave With Specific Parameters We study the unique waveforms of both the first order and higher order rogue wave solutions for special choices of parameters, and we find different types of such wave structures: fundamental. A similarity transformation is utilized to reduce the generalized nonlinear schr\\"odinger (nls) equation with variable coefficients to the standard nls equation with constant coefficients, whose rogue wave solutions are then transformed back into the solutions of the original equation. in this way, ma breathers, the first and second order rogue wave solutions of the generalized equation, are.

The First Order Rogue Wave For в јqrogue1в ј With Parameter Selections Further, the first order rogue wave solutions are given by a taylor expansion of the breather solutions. in particular, the explicit formula of the rogue wave has several parameters, which is more general than earlier reported results and thus provides a systematic way to tune experimentally the rogue waves by choosing different values for them. Similar to the first order rogue wave on double periodic background, the selection of parameters also have effect both on the amplitude of the double periodic background and rogue waves. the positions of the second rogue waves also show the connections between reverse space time points (x, t) and \(( x, t)\). In summary, we have derived specific forms of first, second and third order rogue wave, containing two free parameters μ, ν which govern the center of the rogue wave, for a generalized (3 1) dimensional kp equation, by means of symbolic computation and its bilinear form. these solutions are systematically discussed and the numerical. These include first and second order rogue wave solutions. to some extent, these solutions are analogous with the corresponding nonlinear schr\"odinger equation (nlse) solutions. however, the presence of a free parameter in the equation results in specific solutions that have no analogues in the nlse case.

First Order Rogue Waves With The Parameters Download Scientific In summary, we have derived specific forms of first, second and third order rogue wave, containing two free parameters μ, ν which govern the center of the rogue wave, for a generalized (3 1) dimensional kp equation, by means of symbolic computation and its bilinear form. these solutions are systematically discussed and the numerical. These include first and second order rogue wave solutions. to some extent, these solutions are analogous with the corresponding nonlinear schr\"odinger equation (nlse) solutions. however, the presence of a free parameter in the equation results in specific solutions that have no analogues in the nlse case. An extreme ocean wave (“rogue wave” or “freak wave”) is commonly defined as any wave that is higher than 2 or 2.2 times the significant wave height \(h s\), and they pose a substantial. The maximum and minimum values of the first order rogue wave solution are given at a specific moment. by images. through the long wave limit method, we obtain the bright and dark lump solution.

3d Graphical Representations Of First Order Rogue Waves The Figures An extreme ocean wave (“rogue wave” or “freak wave”) is commonly defined as any wave that is higher than 2 or 2.2 times the significant wave height \(h s\), and they pose a substantial. The maximum and minimum values of the first order rogue wave solution are given at a specific moment. by images. through the long wave limit method, we obtain the bright and dark lump solution.