Different Types Of First Order Rogue Wave Solutions With Parameters We study this equation, and we obtain different types of solutions by using the darboux transformation (dt) and the extended dt of the kn system, such as solitons, positons, breathers. The first order rogue wave produced by a 2 degree rational polynomial functions which is the solution of corresponding bilinear equation, we have shown that how the parameter μ i can affect the profile of first order rogue wave, such as bright dark, width and amplitude. the second order rogue wave solutions are produced by a 6 degree rational.
The First Order Rogue Waves Via Solutions 10 The Parameters Are 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. Based on the lax pair, initial seed solution and darboux transformation, the analytic first , second and third order rogue wave solutions are obtained, and a general expression of the [formula. (1) can be obtained based on the data driven solutions derived in section 3 with the aid of pinns, where the different sets of coefficients are summarized in table 3 and the predicted one soliton, two soliton, first order rogue wave and second order rogue wave solutions have been simulated and compared in fig. 13, fig. 15. Last, we summarize how to generate then order rogue wave solutions. 2. first order rogue wave in this section, we use the traditional long wave limit method to derive the first order rogue wave solution from a two soliton solution, and then we discuss the profile of the solu tions. in order to get the rogue waves from the n solitons, we.
The First Order Rogue Waves Via Solutions 10 The Parameters Are (1) can be obtained based on the data driven solutions derived in section 3 with the aid of pinns, where the different sets of coefficients are summarized in table 3 and the predicted one soliton, two soliton, first order rogue wave and second order rogue wave solutions have been simulated and compared in fig. 13, fig. 15. Last, we summarize how to generate then order rogue wave solutions. 2. first order rogue wave in this section, we use the traditional long wave limit method to derive the first order rogue wave solution from a two soliton solution, and then we discuss the profile of the solu tions. in order to get the rogue waves from the n solitons, we. For the first order rw solution, the different structures of their smooth, singular and singular loop are determined by studying their analytical expressions with some free parameters. according to the given recurrence relation , we have the first order solution of eq. in a determinant form. Then, we consider a variety of auxiliary functions to analyse the different types of soliton solutions, including different order solitons, multiple bifurcations sect. 3. further, we present the first and second order lump and new type of rogue wave solution using hirota blm in sect. 4.
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