TY - JOUR
T1 - Solitary Waves of 1-Nonlinear Schrödinger Equation in the Composite Right- and Left-Handed Metamaterial
AU - Houwe , A.
AU - Klofai , Yerima
AU - Justin , Mibaile
AU - Gambo , Betchewe
AU - Doka , Serge Y.
JO - Journal of Partial Differential Equations
VL - 4
SP - 293
EP - 303
PY - 2020
DA - 2020/01
SN - 32
DO - http://doi.org/10.4208/jpde.v32.n4.1
UR - https://global-sci.org/intro/article_detail/jpde/13610.html
KW - CRLH transmission line
KW - nonlinear Schrödinger equation
KW - Sine-Cosine method
KW - solitary waves.
AB - <p>In this article, we analyze solitary waves in nonlinear left-handed transmission line with nonlinear diodes (Schottkys) which is an important issue, especially for
soliton devices. By applying the Kirchhoffs laws and reductive direct method, the
voltage in the spectral domain was obtained. Considering the Taylor series around
a certain modulation frequency, we obtained one dimensional Nonlinear Schrödinger Equation (NSE), which support envelops soliton, and bright soliton solutions. Using
sine-cosine mathematical method, soliton solutions of the standard Nonlinear Schrödinger equation are obtained. The method used is straightforward and concise and can
be applied to solve further of nonlinear PDEs in mathematical physics.</p>