The physical systems described by nonlinear partial differential equations with exact analytical solutions are generally known as integrable systems. They are also very important from the physics point of view, as these equations occur in many different disciplines of physics like nonlinear optics, hydrodynamics, theory of condensed matter, plasma physics etc. Such systems are very rare only handful of equations are there. Most nonlinear differential equations admit chaotic behavior and no explicit solutions can be written down. There are number of techniques to find exact solutions.

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