Timeline for Numerical stable soliton solution
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Aug 1, 2017 at 0:23 | vote | accept | Einstein_is_Coding | ||
| Jul 31, 2017 at 6:21 | history | edited | Robert Israel | CC BY-SA 3.0 |
added 305 characters in body
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| Jul 31, 2017 at 2:51 | comment | added | Willie Wong | To reinforce what Robert Israel said: the linear ODE $f'' = f$ has multiple distinct solutions satisfying $f(-\infty)= 0 = f'(-\infty)$. The "failure" of uniqueness is mostly an issue of you trying to prescribe initial data at infinity. | |
| Jul 31, 2017 at 2:36 | history | edited | Robert Israel | CC BY-SA 3.0 |
added 388 characters in body
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| Jul 31, 2017 at 1:04 | comment | added | Robert Israel | What in the world does uniqueness have to do with nonlinearity? | |
| Jul 30, 2017 at 21:00 | comment | added | Einstein_is_Coding | Mathematica or Maple can get some solution, but it may not be that simple. For $x\in ]-\infty,+\infty[$, and boundary condition $f(-\infty) = -1$, $f'(-\infty) = 0$, this eq admits at least two solutions $f=-1$ and $f = \tanh(x)$. Due to its non-linearity, the uniqueness of the solution is no longer valid. | |
| Jul 30, 2017 at 18:55 | history | answered | Robert Israel | CC BY-SA 3.0 |