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Can one hear the full nonlinearity of a PDE from its small excitations?
by Maxim Olshanii, Danshyl Boodhoo
Submission summary
| Authors (as registered SciPost users): | Danshyl Boodhoo · Maxim Olshanii |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2407.05215v1 (pdf) |
| Date submitted: | 2024-07-09 14:35 |
| Submitted by: | Boodhoo, Danshyl |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
Current status:
In refereeing