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nlin.SI2022
Instability of single- and double-periodic waves in the fourth-order nonlinear Schrödinger equation
N. Sinthuja, S. Rajasekar, M. Senthilvelan
We compute the instability rate for single- and double-periodic wave solutions of a fourth-order nonlinear Schrödinger equation. The single- and double-periodic solutions of a four…
nlin.SI2022
Rogue waves with two different double-periodic wave backgrounds and their modulational instabilities of a fifth-order nonlinear Schrödinger equation
N. Sinthuja, M. Senthilvelan
In this article, we derive rogue wave (RW) solutions of a fifth-order nonlinear Schrödinger equation over a double-periodic wave background. Choosing the elliptic functions (combin…