4 problems

Stem-structure conjecture. Quasi-resonant collisions in the KPI equation may also generate stem structures analogous to those observed in quasi-resonant two-soliton solutions of th…

Let the sine-Gordon equation be the integrable scalar field equation, and let the $\phi^4$-model and the general equation referred to in the source be non-completely-integrable sca…

Universal dispersive-profile conjecture. There exists a universal $v_0$, minimizing a certain functional related to energy quantities, for example

For the quartic generalized Korteweg–de Vries equation, consider a general solution satisfying suitable assumptions. A decomposition into decoupled solitary waves and a dispersive…