Abstract
In this study, we have improved the long-wave limit method to efficiently derive higher-order rogue waves for (1+1)-dimensional integrable systems. By taking the nonlinear Schrödinger equation as an example, the results obtained by this method are consistent with those obtained by other known methods, such as the generalized Darboux transformation method and the KP hierarchy reduction method. The greatest significance of the improved long-wave limit method is that it provides an efficient and convenient way for the relevant scholars to quickly discover rogue waves of other (1+1)-dimensional integrable equations.
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