1-Soliton solution and conservation laws for nonlinear wave equation in semiconductors

Abstract This paper obtains the 1-soliton solution of a nonlinear wave equation that arises in the study of semiconductors. The conserved quantities are also calculated from this equation. Furthermore, additional non-trivial conserved quantities are computed using the invariance and multiplier approach based on the well known result that the Euler–Lagrange operator annihilates the total divergence.

[1]  B. Prasad,et al.  Modal Analysis and Waveguide Dispersion of an Optical Waveguide Having a cross-section of the Shape of a Cardioid , 2006 .

[2]  A. B. Al’shin,et al.  Traveling-wave solution to a nonlinear equation in semiconductors with strong spatial dispersion , 2008 .

[3]  Anjan Biswas,et al.  TIMING SHIFT OF OPTICAL PULSES DUE TO INTER-CHANNEL CROSS-TALK , 2008 .

[4]  Soumendu Jana,et al.  Propagation of a Mixture of Modes of a Laser Beam in a Medium with Saturable Nonlinearity , 2006 .

[5]  Haibo Bao,et al.  Amplification, Compression and Shaping of Picosecond Super-Gaussian Optical Pulse Using MZI-SOAS Configuration , 2007 .

[6]  A. R. Chowdhury,et al.  Spatial Soliton Scattering in a Quasi Phase Matched Quadratic Media in Presence of Cubic Nonlinearity , 2007 .

[7]  Ragini Tripathi,et al.  REDUCTION OF CROSSTALK IN WAVELENGTH DIVISION MULTIPLEXED FIBER OPTIC COMMUNICATION SYSTEMS , 2007 .

[8]  Anjan Biswas,et al.  Bright and dark optical solitons with time-dependent coefficients in a non-Kerr law media , 2010 .

[9]  Manoj Mishra,et al.  Interaction of Solitons in a Dispersion Managed Optical Communication System with Asymmetric Dispersion Map , 2007 .

[10]  Anjan Biswas,et al.  Influence of Even Order Dispersion on Soliton Transmission Quality with Coherent Intereference , 2008 .

[11]  S. Srivastava,et al.  Coupled Bright-Dark Soliton Pairs in Polymeric Photorefractive Materials , 2008 .

[12]  A. Rostami,et al.  A Novel Proposal for Passive All-Optical Demultiplexer for DWDM Systems Using 2-D Photonic Crystals , 2008 .

[13]  A. H. KARA,et al.  A SYMMETRY INVARIANCE ANALYSIS OF THE MULTIPLIERS & CONSERVATION LAWS OF THE JAULENT–MIODEK AND SOME FAMILIES OF SYSTEMS OF KdV TYPE EQUATIONS , 2009 .

[14]  Abdul-Majid Wazwaz,et al.  Multiple-soliton solutions of the perturbed KdV equation , 2010 .

[15]  Anjan Biswas,et al.  Optical Solitons with Parabolic and Dual-Power Law Nonlinearity via Lie Symmetry Analysis , 2009 .

[16]  Anjan Biswas,et al.  Adiabatic Dynamics of Gaussian and Super-Gaussian Solitons in Dispersion-Managed Optical Fibers , 2008 .

[17]  Seong-Ook Park,et al.  Stability and Numerical Dispersion of 3-D Simplified Sampling Biorthogonal Adi Method , 2010 .

[18]  Anjan Biswas,et al.  Optical solitons with log-law nonlinearity , 2010 .

[19]  Sahay Shwetanshumala,et al.  Temporal Solitons of Modified Complex Ginzberg Landau Equation , 2008 .

[20]  Kai Li,et al.  Exact Transient Field of a Horizontal Electric Dipole Excited by a Gaussian Pulse on the Surface of One-Dimensionally Anisotropic Medium , 2008 .