The tanh method: a tool for solving certain classes of nonlinear evolution and wave equations

Auxiliary equation method for solving nonlinear partial differential equations

Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation

The spherical modified Kadomtsev-Petviashvili (smKP) model is hereby derived with symbolic computation for the dust-ion-acoustic waves with zenith-angle perturbation in a cosmic dusty plasma. Formation and properties of both dark and bright smKP nebulons are obtained and discussed. The relevance of those smKP nebulons to the supernova shells and Saturn’s F-ring is pointed out, and possibly observable nebulonic effects for the future cosmic plasma experiments are proposed. The difference of the smKP nebulons from other types of nebulons is also analyzed.

Cosmic dust-ion-acoustic waves, spherical modified Kadomtsev-Petviashvili model, and symbolic computation

https://inside.mines.edu/~whereman/papers/Baldwin-etal-JSC-37-2004.pdf

Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs

Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics

Yi-Tian Gao

Papers

Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics