The First Order Breather Rogue Waves Via Semirational Solutions 10

The First Order Breather Rogue Waves Via Semirational Solutions 10 Recent studies have presented, e.g., the rogue wave solutions of the (2 1) dimensional caudrey dodd gibbon kotera sawada like equation via the bilinear residual network method [52], multilump. Applying a shift can generate the concomitance of a breather and a one order rogue wave. while without a time delay, the one order rogue wave will overlay on the breather and merge with two peaks of it into a two order rogue wave, leading the solution to appear as a breather propagating along t = 0 with a two order rogue wave locating at the.

The First Order Breather Rogue Waves Via Semirational Solutions 10 The coupled mixed derivative nonlinear schrödinger equations, correlated with lax pairsinvolving $$3\\times 3$$ 3 × 3 matrices, arise as a significant integrable system in many physical contexts. by constructing the darboux transformation, breathing bright–dark solitons, mixed kink solutions, mixed periodic solutions, semi rational rogue wave solutions and various types of mixed soliton. In this paper, a coupled mixed derivative nonlinear schrödinger system, which describes the short pulses in the femtosecond or picosecond regime of a birefringent optical fiber, is investigated. based on the known nth order breather solutions, we derive the first order breathers and investigate their properties, e.g., velocities and peak amplitudes, where n is a positive integer. then, two. The bright dark soliton, breather and semirational rogue wave solutions are derived by aid of the first iterated darboux dressing transformation formula. (1) when the parameter \(\lambda \) is independent on amplitude \(a {1}\) and wave number q , and \(\lambda \) is chosen as a complex parameter whose real part is a nonzero constant, elastic. Thus, the hybrid second order rogue wave and first order breather solutions can be yielded as (66) a 2 r 1 b 3 = a 2 r 2 − 4 β γ λ 3 λ 3 ∗ ϕ 13 2 ϕ 14 2 Δ 2 r 1 b, (67) b 2 r 1 b 3 = b 2 r 2 − 4 β λ 3 λ 3 ∗ ϕ 23 2 ϕ 14 2 Δ 2 r 1 b t, where a 2 r 2 and b 2 r 2 are given by (36), (37), respectively. the interactions.

First Order Rogue Wave Solutions Given By 10 With Download The bright dark soliton, breather and semirational rogue wave solutions are derived by aid of the first iterated darboux dressing transformation formula. (1) when the parameter \(\lambda \) is independent on amplitude \(a {1}\) and wave number q , and \(\lambda \) is chosen as a complex parameter whose real part is a nonzero constant, elastic. Thus, the hybrid second order rogue wave and first order breather solutions can be yielded as (66) a 2 r 1 b 3 = a 2 r 2 − 4 β γ λ 3 λ 3 ∗ ϕ 13 2 ϕ 14 2 Δ 2 r 1 b, (67) b 2 r 1 b 3 = b 2 r 2 − 4 β λ 3 λ 3 ∗ ϕ 23 2 ϕ 14 2 Δ 2 r 1 b t, where a 2 r 2 and b 2 r 2 are given by (36), (37), respectively. the interactions. The multiple soliton solutions for the generalized bogoyavlensky–konopelchenko equation along with solutions contain first order, second order, and third order wave solutions were analyzed 62. The first order rogue wave solutions. in order to acquire the first order rogue wave solution for the ab system (1)–(2), it is necessary to get m [1] in the expression (10). for the first order rogue wave solutions, we denote m k as m r k (k = 1, 2).

Interactions Between The First Order Rogue Wave And Breather Like The multiple soliton solutions for the generalized bogoyavlensky–konopelchenko equation along with solutions contain first order, second order, and third order wave solutions were analyzed 62. The first order rogue wave solutions. in order to acquire the first order rogue wave solution for the ab system (1)–(2), it is necessary to get m [1] in the expression (10). for the first order rogue wave solutions, we denote m k as m r k (k = 1, 2).

The First Order Rogue Waves Via Solutions 10 The Parameter