A century ago, de Broglie discovered the wave associated to the motion of the electron. We present here the soliton solutions of a nonlinear relativistic wave equation. Two such solitons exist, corresponding to the tw...
A theoretical investigation has been done for the study of dust acoustic solitary waves and dust acoustic shock waves propagating in an unmagnetized, collisionless Lorentzian dusty plasma considering adiabatic and non...
In this work, we try to build a model to describe the condensation through the couple of bio-solitons in a well based on the BCS theory extended by the nonlinear operator, which can be used to simulate the created pro...
In this work, we propose a model of oscillation of Davydov solitons in three wells. It can be used as a mathematical and physical frame in simulation of circle of some nonlinear oscillation of excitations via acupunct...
The Sagdeev potential method is employed to compute the width of (Ion-acoustic) soliton propagated in a cold plasma. The computation indicates that the soliton width is a continuous function (of the Mach number M), wh...
In this work, some types of nonlinear Liouville equation (NLE) and nonlinear Master equations (NME) are studied. We found that the nonlinear terms in the equation can resist state of system damping so that an informat...
In this work, we reveal possibility using information soliton to resist senescence of certain important bio-excitations (such as Davydov solitons) which play a fundamental role in information processing of life. For t...
We have analyzed the narrow components in the positron annihilation angular correlation spectra of graphite-potassium intercalation with the theoretical formula, which is extended from “topological quasi-positronium...
In this work, for understanding bio-information transmission through long distance a type of nonlinear master equation is studied. We found that the nonlinear power term can introduce a novel solution of the equation,...
In this work, a mechanism of macroscopic quantum tunneling is studied, which shows this sort of phenomena may exist even in the bio-field system. The relevant Davydov solitons fields and the Feynman digraph have been ...