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Semi-Analytical Construction of Soliton Solutions for the Generalized Third-Order NLSE and the (2+1)-Dimensional BKK System
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DOI：10.1007/s10773-026-06323-3.png)
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Abstract
En 中文
In this work, a broad class of new exact solutions is obtained for the generalized third-order nonlinear Schr & ouml;dinger equation (NLSE) and the (2+1)-dimensional Broer-Kaup-Kupershmidt (BKK) system by employing a recently developed semi-analytical approach. Various types of soliton structures are derived, including dark, bright, and singular solitons for the generalized third-order NLSE, as well as kink, antikink, and singular solutions for the BKK system. To gain a further understanding of dynamical properties and attributes of the solutions obtained, detailed graphical illustrations are offered. The results extend the known families of exact solutions of these fundamental nonlinear models and help in the further improvement of ansatz-based approaches within the theory of nonlinear wave processes.
Keywords:
Nonlinear Schr & ouml
dinger equation
Solitons
Generalized Arnous scheme
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1.7
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199
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