ABSTRACT
274Solitons are the solutions of nonlinear partial differential equations whose modal behavior can be described by a nonlinear Klein‐Gordon (NLKG) equation that is derived through variational principle based on a generalized Hamiltonian. It is known that solitons gives robust solutions that can retain their shape to a longer extent without any distortion and hence also treated as particles. In the realm of their application in nonlinear optical fiber communications as well as in various nano‐structured devices, NLKG equation seems to be a better option. It is a PDE with second order spatial and temporal terms that describe the nonlinear modes in the communication systems involving both ferroelectrics and meta-materials that are well‐known nonlinear optical materials. Here, we derive NLKG for meta-materials as split‐ring‐resonators (SRR) for the applications in antenna. Various parameters involved in the Hamiltonian indicate interesting behavior against amplitude of magneto‐inductive waves that also shows multi‐soliton behavior in the meta-materials system.
