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To study the rogue waves in (n + 1)-dimensions, we assume the (n + 1)-dimensional NLSE in the occurrence of external potential. The modulation instability (MI) analysis is also performed as it is considered the fundamental mechanism for the development of wave solutions because it signifies the exponential growth of a weak perturbation. As far as concerned about the rogue waves, the 1st and 2nd order solutions are obtained by similarity transformation which are localized in both spatial and temporal directions in the presence of external potential. Dynamical study shows the different wave behavior by selecting the appropriate values of parameters of external magnetic field. • The applications in the presence of external potential are considered. • Modulation instability analysis and rogue wave solutions obtained. • The (n + 1)-dimensional NLSE dynamical equation [ABSTRACT FROM AUTHOR]

• We study new exact soliton solutions, lump wave and mixed lump wave solutions to the YTSF equation. • Different types of interaction solutions are investigated using the extended three soliton test approach. • The graphical behaviors have also been depicted with different values of parameters. The article investigates the exact and mixed lump wave solitons to the (3+1)-dimensional potential YTSF equation, which is an extension of the Bogoyavlenskii-Schif equation. Different types of interaction solutions in terms of a new merge of positive quadratic functions, trigonometric functions and hyperbolic functions are obtained, which are investigated using the extended three soliton test approach. The dynamical behavior of solutions has also depicted in different 3D representations. The representations show that the soliton solutions are obtained in the form of train and cusp. Some other solutions like lamb wave with high peak, and lump solutions with kink background are also observed in these representations. [ABSTRACT FROM AUTHOR]

Several letters to the editor are presented in response to articles that appeared in previous issues of the magazine including "Don't be scared of the dogma," by Roy Hattersley and "The 50 People who matter," both of which appeared in the September 27, 2010 issue, and "Proud to say nope to the Pope," by Laurie Penny in the September 20, 2010 edition.