Real-time spectroscopy access to ultrafast fiber lasers opens new opportunities for exploring
complex soliton interaction dynamics. Here, we have reported the first observation, to the …

With the advantages of fast calculating speed and high precision, the physics-informed
neural network method opens up a new approach for numerically solving nonlinear partial …

Soliton molecules can be formed in some possible mechanisms both theoretically and
experimentally. In this paper, we introduce a new mechanism, namely the velocity resonant …

Soliton molecules which are the bound states of solitons have been experimentally
discovered in optics and theoretically investigated for coupled systems. This Letter is …

In this study, the Caudrey-Dodd-Gibbon equation is under investigation. The explicit first-to
fourth-order solutions are represented using the distinctive auxiliary function involved in the …

Soliton molecules were first discovered in optical systems and are currently a hot topic of
research. We obtain soliton molecules of the (2+ 1)-dimensional fifth-order KdV system …

On the basis of N-soliton solutions of the (2+ 1)-dimensional generalized Bogoyavlensky–
Konopelchenko equation, we acquire the new resonant Y-type soliton and X-type soliton by …

Abstract A (2+ 1)-dimensional fifth-order integrable model, the fifth member of the
Kadomtsev-Petviashvilli hierarchy (KP5 equation) is investigated. The Lax pairs and the …

A Faraday-wave-like parametric instability is investigated via mean-field and Floquet
analysis in immiscible binary Bose-Einstein condensates. The condensates form a so-called …

The paper studies the modulational instability (MI), both theoretically and numerically, of the
helicoidal spin-orbit coupled Bose-Bose mixture. An expression of the MI growth rate is …