Chapter 14 You will be able to answer it quickly
Such emotions make Yang Lianhua sincerely hope that Shengzhou University can become better. Naturally, he also hopes that Shengzhou University can emerge with more talents.
"Don't worry, Teacher Yang, I will definitely treat Ning Chen like my own graduate student."
The next day, He Sheng informed Ning Chen that he had completed After checking Ning Chen's research results, he determined that the entire research results were correct, and invited Ning Chen to come to the laboratory for detailed discussions in the evening.
Ning Chen was also a little excited after receiving the news that He Sheng was positive.
This marks that Ning Chen is a small step closer to successfully publishing a paper.
After dinner in the evening, Ning Chen went to He Sheng's laboratory.
After entering He Sheng's laboratory, Ning Chen discovered that besides He Sheng, there was another older teacher in the laboratory.
"Teacher Yang, this is the classmate Ning Chen I told you about."
"Hello, classmate Ning Chen."
"Hello, Teacher Yang!"
While saying hello, Yang Lianhua looked at Ning Chen.
Yang Lianhua's first impression of Ning Chen was very good. Ning Chen himself had a very good image. He was 1.8 meters tall, with a very standard figure and very handsome appearance.
In addition to his good image, Ning Chen’s temperament gave Yang Lianhua a deeper impression.
Normal students will be more or less timid when they meet Yang Lianhua for the first time.
This is also a normal reaction for students to meet a professor for the first time. After all, students will naturally feel nervous in front of a senior professor, even master's and doctoral students, without exception.
But Ning Chen seemed very confident. This confidence was not pride, but an affirmation of his own abilities.
"Ning Chen, I heard from Teacher He that these research results were produced by you alone. I am very curious, how did you come up with the idea of studying these things?"
Yang Lianhua did not directly ask about the academic issues in Ning Chen's research results, but first asked about the motivation.
“In fact, to a large extent, it was by chance. When I was learning various mathematical knowledge, I learned about the existence of the Sine-Gordon equation. At that time, I was still confused about the Sine-Gordon equation. On a very superficial level, but one night something suddenly occurred to me, and I felt that I could use a new way to get the exact solution to the Sine-Gordon equation..."
Naturally, Ning Chen's words were carefully organized so that he could give a more reasonable explanation when asked by others.
After all, Ning Chen couldn't say that he got these research results from the system.
Ning Chen has thoroughly studied these research results. As long as you ask academic questions about these research results, Ning Chen guarantees that he can answer them fluently.
After listening to Ning Chen’s answer, although Yang Lianhua still found it a bit unbelievable, it was at least a tenable answer.
Some academic geniuses do often seize the inspiration around them and use it as a breakthrough for research problems.
Of course, inspiration is not the whole reason for solving problems, a solid knowledge reserve is equally important.
Yang Lianhua was very satisfied with this answer. However, in order to further understand Ning Chen and ensure that all the research results were indeed from Ning Chen himself, Yang Lianhua still had to ask Ning Chen some more questions. "Ning Chen, why do you use the scattering inversion method when you solve the exact solution of the Sine-Gordon equation?"
Ning Chen knew that Yang Lianhua was examining himself through these questions. , did not point it out in person, and replied calmly:
“When solving nonlinear partial differential equations, the methods we commonly used before include function expansion method, homogeneous equilibrium method, deformation mapping method, and auxiliary equations. method, mixed exponential method, etc. The scattering inversion method has always been used to solve constant coefficient partial differential equations, but I thought that as long as some transformations and auxiliary calculations are performed, the scattering inversion method can also be used to solve nonlinear partial differential equations. Among the equations..."
While talking, Ning Chen took out paper and pen and started deducing on the spot.
Compared with the previous process on the draft paper, Ning Chen’s derivation this time is more detailed, which can also help others better understand his ideas.
“First perform Backlund transformation on the Sine-Gordon equation, and then use the (G'/G) expansion method, combined with various symbolic calculations, we can obtain the exact solution of the variable coefficient Sine-Gordon equation. ..."
Looking at Ning Chen’s derivation process, Yang Lianhua had to admit that Ning Chen really had a very solid grasp of the entire solution process.
Ning Chen would not have been able to give such a complete answer if he had not studied it himself.
After giving Ning Chen's affirmation in his heart, Yang Lianhua continued to ask:
"Can you explain the (G'/G) expansion method in more detail?"
"Of course. We first make a transformation and substitute the expression into the Sine-Gordon equation. The left side of the equation is transformed into a polynomial of (G'/G), and the coefficients of each power term of (G'/G) are zero, and we get The following system of equations..."
"Solving the above system of equations, we can get the solutions of a0(x, t), a1(x, t), α(t). Discussing the range of radical expressions, three will appear below. Three possible situations..."
"Finally, by calculating these three situations respectively, we can obtain the exact solutions of several sets of Sine-Gordon equations."
Ning Chen continued to answer Yang Lianhua's questions fluently, which made Yang Lianhua nod his head repeatedly.
After asking Ning Chen several related academic questions in succession, Ning Chen answered them all fluently, which made Yang Lianhua completely impressed by Ning Chen.
"Teacher Yang, apart from that, I think my research results still have certain practical significance."
"It is easier to find the solution through the inversion scattering method. The connection between different solutions makes it much easier to solve the Sine-Gordon equation, and the solution process will be more concise."
"If we can further study the related properties, I will do so. I think it is possible to apply this method to other nonlinear differential equations..."
In the end, Ning Chen simply didn't wait for Yang Lianhua to ask him again, and directly answered.
Yang Lianhua also did not expect that Ning Chen had already thought of the significance of this research result and the subsequent research space. Such academic research capabilities are not possessed by many masters and doctors.
"Okay, I have nothing more to ask. Teacher He, you can prepare to guide Ning Chen in writing his thesis."
Yang Lianhua must admit that what He Sheng said to himself before There is no bragging. It is indeed rare to see a student like Ning Chen in many years.
Even Yang Lianhua himself, at the same age, was completely unable to compare with Ning Chen now.
(End of this chapter)