ScholarLens Back to search
2015•Communications in Theoretical PhysicsRequires access

Single Peak Soliton and Periodic Cusp Wave of the Generalized Schrodinger–Boussinesq Equations*

Lijing Qiao, Shengqiang Tang, Hai‐Xia Zhao

Open publisher page 2 citations

Abstract

Abstract In this paper, we study peakon, cuspon, smooth soliton and periodic cusp wave of the generalized Schrödinger–Boussinesq equations. Based on the method of dynamical systems, the generalized Schrödinger–Boussinesq equations are shown to have new the parametric representations of peakon, cuspon, smooth soliton and periodic cusp wave solutions. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given.

About this research paper

What this paper is about

Abstract In this paper, we study peakon, cuspon, smooth soliton and periodic cusp wave of the generalized Schrödinger–Boussinesq equations. Based on the method of dynamical systems, the generalized Schrödinger–Boussinesq equations are shown to have new the parametric representations of peakon, cuspon, smooth soliton and periodic cusp wave solutions. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given.

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract In this paper, we study peakon, cuspon, smooth soliton and periodic cusp wave of the generalized Schrödinger–Boussinesq equations. Based on the method of dynamical systems, the generalized Schrödinger–Boussinesq equations are shown to have new the parametric representations of peakon, cuspon, smooth soliton and periodic cusp wave solutions. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given.

Key concepts: Peakon, Cusp (singularity), Soliton, Periodic wave, Physics, Schrödinger's cat, Parametric statistics, Mathematical analysis

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Single Peak Soliton and Periodic Cusp Wave of the Generalized Schrodinger–Boussinesq Equations* — Research Paper | ScholarLens