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The contributions in this book represent the current status of the important nonlinear theories in different areas of physics and mathematics by experts with applications in physics and biology. The topics covered include solution, integrability, symmetries and singularity structures, Hirota's bilinearisation, multidimensional solutions, soliton perturbation, discrete and periodic integrable systems, low dimensional chaos, quantum chaos, spatiotemporal chaos, pattern formation and application of soliton and chaos in magnetic systems, electronic circuits, fluids, biological systems etc.