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Research Article Open access CC BY 4.0

Exact Solutions with Bounded Periodic Amplitude for Kundu Equation and Derivative Nonlinear Schrödinger Equation

Changfu Liu, Jinmei Liu, Ping Zhou, Min Chen

Journal of Advances in Mathematics and Computer Science · pp. 1–6 · Published 12 May 2016

10.9734/BJMCS/2016/25570

Abstract

In this paper, exact solutions with bounded periodic amplitude to Kundu equation are obtained through transformation, direct integration method and trial function method when the parameters satisfy certain conditions. By the way, exact solutions for the derivative nonlinear Schrödinger equation are also obtained. Two solutions' images are displayed. These results greatly enrich the solutions' structural diversity for these equations.

Kundu equation derivative nonlinear Schrödinger equation transformation and direct integration method trial function method exact solution.

Cited by 2

Optical solitons of time fractional Kundu–Eckhaus equation and massive Thirring system arises in quantum field theory

M. L. Rupa, K. Aruna · Optical and Quantum Electronics · 2024

Analysis of Fractional Kundu-Eckhaus and Massive Thirring Equations Using a Hybridization Scheme

Muhammad Nadeem, Hanan A. Wahash · Journal of Function Spaces · 2023

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