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math-ph2014★ 28 cited
Superposition of Elliptic Functions as Solutions For a Large Number of Nonlinear Equations
Avinash Khare, Avadh Saxena
For a large number of nonlinear equations, both discrete and continuum, we demonstrate a kind of linear superposition. We show that whenever a nonlinear equation admits solutions i…
math-ph2014★ 77 cited
Successive phase transitions and kink solutions in , , and field theories
Avinash Khare, Ivan C. Christov, Avadh Saxena
We obtain exact solutions for kinks in , and field theories with degenerate minima, which can describe a second-order phase transition followed by a first-…