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- Amdad Chowdury, D J Kedziora, Aleksandra Ankiewicz, N. N. Akhmediev
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2015

We analyze the quintic integrable equation of the nonlinear SchrÃ¶dinger hierarchy that includes fifth-order dispersion with matching higher-order nonlinear terms. We show that a breather solution ofâ€¦ (More)

- Amdad Chowdury, D J Kedziora, Aleksandra Ankiewicz, N. N. Akhmediev
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2014

We present the fifth-order equation of the nonlinear SchrÃ¶dinger hierarchy. This integrable partial differential equation contains fifth-order dispersion and nonlinear terms related to it. We presentâ€¦ (More)

- Aleksandra Ankiewicz, D J Kedziora, Amdad Chowdury, Uwe Bandelow, N. N. Akhmediev
- Physical review. E
- 2016

We study the infinite integrable nonlinear SchrÃ¶dinger equation hierarchy beyond the Lakshmanan-Porsezian-Daniel equation which is a particular (fourth-order) case of the hierarchy. In particular, weâ€¦ (More)

We provide a simple technique for finding the correspondence between the solutions of AblowitzLadik and nonlinear SchrÃ¶dinger equations. Even though they belong to different classes, in that one isâ€¦ (More)

- Amdad Chowdury, Wieslaw Z. Krolikowski, N. N. Akhmediev
- Physical review. E
- 2017

We present one- and two-breather solutions of the fourth-order nonlinear SchrÃ¶dinger equation. With several parameters to play with, the solution may take a variety of forms. We consider most ofâ€¦ (More)

- Amdad Chowdury, D J Kedziora, Aleksandra Ankiewicz, N. N. Akhmediev
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2015

We present breather solutions of the quintic integrable equation of the SchrÃ¶dinger hierarchy. This equation has terms describing fifth-order dispersion and matching nonlinear terms. Using a Darbouxâ€¦ (More)

We present an infinite nonlinear SchrÃ¶dinger equation hierarchy of integrable equations, together with the recurrence relations defining it. To demonstrate integrability, we present the Lax pairs forâ€¦ (More)

- Amdad Chowdury, Aleksandra Ankiewicz, N. N. Akhmediev
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2014

We derive exact and approximate localized solutions for the Manakov-type continuous and discrete equations. We establish the correspondence between the solutions of the coupled Ablowitz-Ladikâ€¦ (More)

- Amdad Chowdury, Wieslaw Z. Krolikowski
- Physical review. E
- 2017

We study the exact first-order soliton and breather solutions of the integrable nonlinear SchrÃ¶dinger equations hierarchy up to fifth order. We reveal the underlying physical mechanism whichâ€¦ (More)