Combined optical solitary waves and conservation laws for nonlinear Chen–Lee–Liu equation in optical fibers

摘要: Abstract This paper obtains a combined optical solitary wave solution that is modeled by nonlinear Chen–Lee–Liu equation (NCLE) which arises in the context of temporal pulses along fibers associated with self-steepening nonlinearity using complex envelope function ansatz. The novel describes bright and dark properties same expression. intensity phase shift are reported. Moreover, Lie point symmetry generators or vector fields system partial differential equations (PDEs) acquired transforming NCLE to real imaginary parts derived. It observed obtained nonlinearly self-adjoint an explicit form substitution satisfying condition. Then we use these facts establish set conservation laws (Cls) for general Cls theorem. Numerical simulation physical interpretations results demonstrated interesting figures showing meaning results. hoped reported this can enrich dynamical behaviors NCLE.