Solutions induced from bright solitons for nucleon\u2013meson model

Qihong Shi,Xiaobing Zhang,Suqin Chang,Jianxiong Cao

doi:10.1186/s13662-018-1831-4

Qihong Shi, Xiaobing Zhang + Show 2 more

Open Access

https://doi.org/10.1186/s13662-018-1831-4

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Abstract

In this work, the classical (1+1)-dimensional Klein–Gordon–Schrödinger (KGS) system is studied. The ansatz and the homogeneous balance principle are employed in searching for particular soliton solutions, such as bright and dark solitons. Regrettably, dark solitons cannot be captured. However, this procedure leads to a series of new singular solitons and explicit periodic wave solutions.

Highlights

For an atomic nucleus in nonlinear media, its internal wave evolution is of considerable interest for many applications in science and modern industry technology
Mathematical theory of propagation of a nonlinear wave for a nucleon field interacting with a neutral meson field is often based on the study of the so-called Klein–Gordon– Schrödinger (KGS) system which has the form 1 iut + 2 uxx = –nu, ntt – nxx + M2n = |u|2, (1.1) (1.2)
Where u(x, t) denotes the conserved complex nucleon field, and n(x, t) represents the real scalar meson field. This system describes the dynamics of a nucleon field interacting with a neutral meson field through the Yukawa coupling [1]

Summary

Introduction

For an atomic nucleus in nonlinear media, its internal wave evolution is of considerable interest for many applications in science and modern industry technology (see, e.g., [1, 2]). Mathematical theory of propagation of a nonlinear wave for a nucleon field interacting with a neutral meson field is often based on the study of the so-called Klein–Gordon– Schrödinger (KGS) system which has the form 1 iut + 2 uxx = –nu, ntt – nxx + M2n = |u|2, (1.1) (1.2) To the best of our knowledge, there are few report on the existence of some particular physical waves, such as bright and dark solitons [19].

Results

Conclusion