We present doubly periodic solutions of the infinitely extended nonlinear Schrodinger equation with an arbitrary number of higher-order terms and corresponding free real parameters. Solutions have one additional free variable parameter that allows one to vary periods along the two axes. The presence of infinitely many free parameters provides many possibilities in applying the solutions to nonlinear wave evolution. Being general, this solution admits several particular cases which are also given in this article.The authors gratefully acknowledge the support of the Australian Research Council (Discovery Project No. DP150102057)
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AbstractThe nonlinear Schrödinger equation (NLSE) is an important model for wave packet dynamics in ...
We study the infinite integrable nonlinear Schrödinger equation hierarchy beyond the Lakshmanan-Pors...
We derive the two-breather solution of the class I infinitely extended nonlinear Schrödinger equatio...
Solitons on a finite background, also called breathers, are solutions of the focusing nonlinear Schr...
We study the infinite integrable nonlinear Schrödinger equation (NLSE) hierarchy beyond the Lakshman...
Evolution equations such as the nonlinear Schrödinger equation (NLSE) can be extended to include an ...
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Analysis of short-pulse propagation in positive dispersion media, e.g., in optical fibers and in sha...
We present one- and two-breather solutions of the fourth-order nonlinear Schrödinger equation. With ...
We consider an extended nonlinear Schroeodinger equation with higher-order odd (third order) and eve...
We present rogue wave solutions of the integrable nonlinear Schrödinger equation hierarchy with an i...
We present a class of solutions with a period multiple to that one of the standard dispersion-manage...
A class of doubly periodic waves for several nonlinear evolution equations is studied by the Hirota ...
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AbstractThe nonlinear Schrödinger equation (NLSE) is an important model for wave packet dynamics in ...
We study the infinite integrable nonlinear Schrödinger equation hierarchy beyond the Lakshmanan-Pors...