TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.8.3.055
TI  - Can one hear the full nonlinearity of a PDE from its small excitations?
PY  - 2025/08/25
UR  - https://www.scipost.org/SciPostPhysCore.8.3.055
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 8
IS  - 3
SP  - 055
A1  - Olshanii, Maxim
AU  - Boodhoo, Danshyl
AB  - In this article, we show how one can restore an unknown nonlinear partial differential equation of a sine-Gordon type from its linearization around an unknown stationary kink. The key idea is to regard the ground state of the linear problem as the translation-related Goldstone mode of the nonlinear PDE sought after.
ER  -

@Article{10.21468/SciPostPhysCore.8.3.055,
	title={{Can one hear the full nonlinearity of a PDE from its small excitations?}},
	author={Maxim Olshanii and Danshyl Boodhoo},
	journal={SciPost Phys. Core},
	volume={8},
	pages={055},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.8.3.055},
	url={https://scipost.org/10.21468/SciPostPhysCore.8.3.055},
}