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The multiple bright soliton pairs of the fully PT-symmetric nonlocal Davey-Stewartson I equation
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This article investigates the dynamics of multiple bright soliton pair
interactions in the fully PT -symmetric nonlocal Davey–Stewartson I equation. The
bright soliton pair solutions are derived by employing the bilinear KP-hierarchy reduction method, and are expressed in terms of determinants. To study the interactions of
the multiple soliton pairs, the long-time asymptotic analysis for these soliton solutions
is performed by using the analysis of determinants, and the asymptotic expressions
of the N individual soliton pair solutions are given as the sum of expressions for the
2N single soliton solutions. The asymptotics shows that the soliton pairs only exhibit
elastic collisions and the two solitons in each soliton pair share equal amplitudes
Editura Academiei Române
Title: The multiple bright soliton pairs of the fully PT-symmetric nonlocal Davey-Stewartson I equation
Description:
This article investigates the dynamics of multiple bright soliton pair
interactions in the fully PT -symmetric nonlocal Davey–Stewartson I equation.
The
bright soliton pair solutions are derived by employing the bilinear KP-hierarchy reduction method, and are expressed in terms of determinants.
To study the interactions of
the multiple soliton pairs, the long-time asymptotic analysis for these soliton solutions
is performed by using the analysis of determinants, and the asymptotic expressions
of the N individual soliton pair solutions are given as the sum of expressions for the
2N single soliton solutions.
The asymptotics shows that the soliton pairs only exhibit
elastic collisions and the two solitons in each soliton pair share equal amplitudes.
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