Truncated Painlev´e Expansion – A Unified Approach to Exact Solutions and Dromion Interactions of (2+1)-Dimensional Nonlinear Systems

The partial differential equation arising from heat transfer in a fin of cylindrical shape with temperature dependent thermal diffusivity is reduced, and exact so- lutions are

The exact chirped soliton-like and quasi-periodic wave solutions of the (3+1)-dimensional gener- alized nonlinear Schr¨odinger equation including linear and nonlinear gain (loss)

The exact chirped soliton-like and quasi-periodic wave solutions of the (3+1)-dimensional gener- alized nonlinear Schr¨odinger equation including linear and nonlinear gain (loss)

Furthermore, using the associated vector fields of the obtained symmetry, we give out the reductions by one-dimensional and two-dimensional subalgebras, and some explicit solutions

Furthermore, using the associated vector fields of the obtained symmetry, we give out the reductions by one-dimensional and two-dimensional subalgebras, and some explicit solutions

Key words: Conditional Similarity Reduction Method; (2+1)-Dimensional Dispersive Long-Water Wave System; Exact Solutions; Localized Excitations. PACS numbers:

Key words: Conditional Similarity Reduction Method; (2+1)-Dimensional Dispersive Long-Water Wave System; Exact Solutions; Localized Excitations.. PACS numbers:

We have also obtained multiple periodic wave solu- tions which may degenerate to multiple dromions just as one soliton can be obtained as the limiting case of Jacobi elliptic