Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation

L Ling, BF Feng, Z Zhu - Physica D: Nonlinear Phenomena, 2016 - Elsevier
In the present paper, we are concerned with the general analytic solutions to the complex
short pulse (CSP) equation including soliton, breather and rogue wave solutions. With the …

Complex short pulse and coupled complex short pulse equations

BF Feng - Physica D: Nonlinear Phenomena, 2015 - Elsevier
In the present paper, we propose a complex short pulse equation and a coupled complex
short equation to describe ultra-short pulse propagation in optical fibers. They are integrable …

Multiloop soliton and multibreather solutions of the short pulse model equation

Y Matsuno - Journal of the Physical Society of Japan, 2007 - journals.jps.jp
We develop a systematic procedure for constructing the multisoliton solutions of the short
pulse (SP) model equation which describes the propagation of ultra-short pulses in …

A novel multi-component generalization of the short pulse equation and its multisoliton solutions

Y Matsuno - Journal of mathematical physics, 2011 - pubs.aip.org
We propose a novel multi-component system of nonlinear equations that generalizes the
short pulse (SP) equation describing the propagation of ultra-short pulses in optical fibers …

Rich soliton structures for the Kraenkel-Manna-Merle (KMM) system in ferromagnetic materials

BQ Li, YL Ma - Journal of Superconductivity and Novel Magnetism, 2018 - Springer
A particular attention is paid to investigate the Kraenkel-Manna-Merle (KMM) system, which
can describe the nonlinear short-wave propagation in saturated ferromagnetic materials with …

From the real and complex coupled dispersionless equations to the real and complex short pulse equations

S Shen, BF Feng, Y Ohta - Studies in Applied Mathematics, 2016 - Wiley Online Library
In the present paper, we study the real and complex coupled dispersionless (CD) equations,
the real and complex short pulse (SP) equations geometrically and algebraically. From the …

Integrable discretizations of the short pulse equation

BF Feng, K Maruno, Y Ohta - Journal of Physics A: Mathematical …, 2010 - iopscience.iop.org
In this paper, we propose integrable semi-discrete and full-discrete analogues of the short
pulse (SP) equation. The key construction is the bilinear form and determinant structure of …

Periodic solutions of the short pulse model equation

Y Matsuno - Journal of mathematical physics, 2008 - pubs.aip.org
We develop a systematic procedure for constructing periodic solutions of the short pulse
(SP) model equation that describes the propagation of ultrashort pulses in nonlinear media …

Inverse scattering transform for the complex coupled short‐pulse equation

A Gkogkou, B Prinari, BF Feng… - Studies in Applied …, 2022 - Wiley Online Library
In this paper, we develop the Riemann–Hilbert approach to the inverse scattering transform
(IST) for the complex coupled short‐pulse equation on the line with zero boundary …

Lie symmetry analysis and exact solutions for the short pulse equation

H Liu, J Li - Nonlinear analysis: theory, methods & applications, 2009 - Elsevier
In this paper, the Lie symmetry analysis and the generalized symmetry method are
performed for a short pulse equation (SPE). The symmetries for this equation are given. For …