Sentence examples for solutions to the one from inspiring English sources

In this article, one gives a classification of the solutions to the one dimensional nonlinear focusing Schrödinger equation (NLS) by considering the modulus of the solutions in the (x, t) plan in the cases of orders 3 and 4. For this, we use a representation of solutions to NLS equation as a quotient of two determinants by an exponential depending on t.

Based on our solutions to the one-dimensional Markov chain [10, 21], we have (2).

The theoretical aspects of the solutions to the one-dimensional partial differential equations (PDEs) with integral conditions have been studied by several authors[7, 8, 9, 10].

Here, controlled laboratory experiments were used to explore the accuracy of analytical solutions to the one-dimensional heat transport model for capturing temporal variability of flux through porous media from propagation of a periodic temperature signal to depth.

In this paper I prove a Lp−Lp estimate for the solutions to the one-dimensional Schrödinger equation with a potential in L1γ where in the generic caseγ>3/2 and in the exceptional case (i.e., when there is a half-bound state of zero energy) γ>5/2.

Tell us your favorite cellular riddle, or dare to offer solutions to the ones we covered.

As applications, for the space-time fractional potential Kadomstev-Petviashvili equation we found similar solutions to the ones previously obtained in [26, 32].

Connecticut officials may end up with a similar solution to the one engineers in New York settled on, depending on the damage to the overpass's internal structure.

"Lemmy certainly has an alternative solution to the one presently being tried," said Graham afterwards.

The idea that the solution to the one lies in the other is temptingly simple, it must be said.

(This was Ponti's solution to the one disagreement he had with his clients -- he disliked the animal heads).