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Robin Bullough

Robin Bullough is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Robin Bullough rather than just read about it. In short: Robin K. Bullough (21 November 1929 – 30 August 2008) was a British mathematical physicist known for his contributions to the theory of solitons, in particular for his role in the development of the theory of the optical soliton, now commonly used, for example, in the theory of trans-oceanic optical fibre communication theory, but first recognised in Bullough's work on ultra-short (nano- and femto-second) optical pu…

Robin Bullough — main illustration
Robin Bullough — illustration

Key takeaways

  • Robin Bullough belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Robin Bullough to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Robin Bullough from memory before moving on to harder problems.

Reference excerpt

Robin K. Bullough (21 November 1929 – 30 August 2008) was a British mathematical physicist known for his contributions to the theory of solitons, in particular for his role in the development of the theory of the optical soliton, now commonly used, for example, in the theory of trans-oceanic optical fibre communication theory, but first recognised in Bullough's work on ultra-short (nano- and femto-second) optical pulses. He is also known for deriving exact solutions to the nonlinear equations describing these solitons and for associated work on integrable systems, infinite-dimensional Hamiltonian systems (both classical and quantum), and the statistical mechanics for these systems. Bullough also contributed to nonlinear mathematical physics, including Bose–Einstein condensation in magnetic traps. Bullough obtained his first academic position in the Mathematics Department at UMIST in 1960 and was appointed chair of Mathematical Physics in 1973 where he remained until his retirement in 1995. He was then an emeritus Professor in the same department, which has now become the School of Mathematics in the University of Manchester.

Education and career Bullough's father, William Bullough, was a teacher of German in Newcastle-under-Lyme and was himself a graduate of the Victoria University of Manchester. His mother Edith (née Norman) was also a teacher and both parents were Quakers. Although universally known as Robin, he was actually christened Robert Keith Bullough. Both Robin and his elder brother Donald attended Newcastle High School (then a direct grant grammar school). Donald went on to become a successful professor of medieval history. On leaving school at 16, Bullough obtained a scholarship to Emmanuel College, Cambridge but had to do National Service in the RAF in 1948 and 1949. Three days before his demobilisation he had an accident, putting a rawl plug into a wall, as a piece of steel from a chisel flew into his left eye. He was practically blind in that eye from then on. He obtained a BA in Natural Sciences at Cambridge, specialising in Theoretical Physics for Part II. He went on to obtain a PhD in Chemistry from the University of Leeds in 1957. He then obtained a job as a Mathematical Physicist at the British Rayon Research Association in Manchester between 1959 and 1960 before obtaining a post as lecturer at UMIST. Bullough travelled widely to facilitate collaboration, with regular visiting appointments and research visits to Copenhagen, Jyväskylä, Los Alamos, DTH Lyngby in Denmark, and Ben Gurion University in Israel. He was promoted to Reader in 1967 and Professor of Mathematical Physics in 1973. He organised many conferences over his career including the first National Quantum Electronics Conferences (QEP1) in Manchester in September 1973 and at which he made a first report of 'optical solitons', this was the first of fifteen biennial meetings. By 1973 his research group in UMIST had found solutions to the sine-Gordon and the self-induced transparency (SIT) equations for their multi-soliton solutions and gone on to both introduce, and to solve the initial value problem for, the system they called the ‘Reduced Maxwell-Bloch (RMB) Equations’. Bullough supervised 24 successful doctoral students and had some 33 post doctoral research associates and visiting fellows. In 1999 he gave the specially invited 'Special Foundation Lecture' at the Fourteenth UK National Quantum Electronics & Photonics Conference (QEP14) held at the University of Manchester. The lecture was entitled "The optical soliton of QE1 is the BEC of QE14: has the quantum soliton arrived?" paid tribute to his 45 years work in this area. This work in theoretical quantum optics includes the discovery of the "optical soliton" as such around 1973. Only Steven Chu, Nobel Laureate 1997, was similarly honoured at this conference. Bullough died on 30 August 2008. A symposium was organised in his honour in the Alan Turing Building in June 2009.

Bibliography Bullough published over 200 scientific papers with a range of co-authors. Some of the most highly cited are:

Puri RR, Bullough RK, Quantum electrodynamics of an atom making 2-photon transitions in an ideal cavity, Journal of the Optical Society of America B-optical physics, 5 (10), 2021–2028, 1988 Dodd RK, Bullough RK, Polynomial conserved densities for sine-Gordon equations Proceedings of the Royal Society of London series A—Mathematical Physical and Engineering Sciences 352 (1671): 481-503 1977 Eilbeck JC, Gibbon JD, Caudrey PJ, Bullough RK. Solitons in nonlinear optics 1: more accurate description of 2pi pulse in self-induced transparency. Journal of Physics A—Mathematical and general 6 (9): 1337–1347 1973 Hassan SS, Bullough RK, Theory of dynamical stark effect, Journal of Physics B—atomic molecular and optical physics, 8 (9): l147-l152 1975 Caudrey PJ, Gibbon JD, Eilbeck JC, Bullough RK. Exact multisolution solutions of self-induced transparency and sine-gordon equations, Physical Review Letters 30 (6): 237-238 1973 Bullough RK, Jack PM, Kitchenside PW, et al., Solitons in laser physics, Physica Scripta 20 (3–4): 364-381 1979 Dodd RK, Bullough RK, Backlund transformations for sine-Gordon equations, Proceedings of the Royal Society of London Series A-mathematical physical and engineering sciences 351, (1667): 499-523 1976

References

External links Robin Bullough at the Mathematics Genealogy Project

Illustrations

Robin Bullough illustration

Worked examples

Example 1 — a first encounter with Robin Bullough

Start with the simplest possible case. Write down what Robin Bullough claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Robin Bullough before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Robin Bullough ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Robin Bullough

In research
Robin Bullough appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Robin Bullough in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Robin Bullough is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1929 births, 2008 deaths, 20th-century British mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Robin Bullough outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Robin Bullough in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Robin Bullough means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Robin Bullough out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Robin Bullough in simple terms?

Robin K. Bullough (21 November 1929 – 30 August 2008) was a British mathematical physicist known for his contributions to the theory of solitons, in particular for his role in the development of the theory of the optical soliton, now commonly used, for example, in the theory of trans-oceanic optica…

Why does Robin Bullough matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Robin Bullough?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Robin Bullough.

Tags

  • 1929 births
  • 2008 deaths
  • 20th-century British mathematicians
  • 21st-century British mathematicians
  • Academics of the University of Manchester
  • Academics of the University of Manchester Institute of Science and Technology
  • Alumni of Emmanuel College, Cambridge
  • Alumni of the University of Leeds
  • British mathematical physicists
  • Solitons

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