A family of interesting exact solutions of the sine-Gordon equation

By using AKNS [Phys. Rev. Lett. 31 (1973) 125] system and introducing the wave function, a family of interesting exact solutions of the sine-Gordon equation are constructed. These solutions seem to be some soliton, kink, and anti-kink ones respectively for the different choice of the spectrum, whereas due to the interaction between two traveling-waves they have some properties different from usual soliton, kink, and anti-kink solutions.

A new method of studying the dynamical behavior of the sine-gordon equation

We try to connect the theory of infinite dimensional dynamical systems and nonlinear dynamical methods. The sine-Gordon equation is used to illustrate our method of discussing the dynamical behaviour of infinite dimensional systems. The results agree with those of Bishop and Flesch [SLAM J. Math. Anal. 21 (1990) 1511].

Sine-Gordon方程的截断系统的同宿轨道

研究ＳｉｎｅＧｏｒｄｏｎ方程的广义渐近惯性流形上的常微分方程组，证实了在一定参数条件下存在Ｗｉｇｇｉｎｓ［１］意义下的同宿轨道．计算表明，与Ｂｉｓｈｏｐ［２］用数值计算得到的ＳｉｎｅＧｏｒｄｏｎ方程产生混沌的参数值尚有差别，考虑到同宿出现参数值往往低于混沌出现参数值，故结果在定性上正确，而且改进了文［１］中的结果．

Diario da viagem do Dr. Francisco Jose de Lacerda e Almeida pelas capitanias do Para, Rio Negro, Matto-Grosso, Cuyaba, e S. Paulo, nos annos de 1780 a 1790

O Diario..., como observa Borba de Moraes, "apresenta um roteiro muito resumido, mas muito exato" e, como diz Sacramento Blake, "atendendo ao que é escrito em viagem, e viagem de 648 léguas de terras invias e inexploradas. É, entretanto, trabalho de grande valor para a geografia dos lugares percorridos." O Diario... foi reeditado pelo Instituto Nacional do Livro em 1944.

New doubly periodic waves of the (2+1)-dimensional double sine-Gordon equation

New exact solutions of the (2 + 1)-dimensional double sine-Gordon equation are studied by introducing the modified mapping relations between the cubic nonlinear Klein-Gordon system and double sine-Gordon equation. Two arbitrary functions are included into the Jacobi elliptic function solutions. New doubly periodic wave solutions are obtained and displayed graphically by proper selections of the arbitrary functions.

Portunus pulchricristatus (Gordon, 1931): an addition to crab fauna of Pakistan (northern Arabian Sea)

Portunus pulchricristatus (Gordon, 1931) is a rare species, to date we have obtained only three specimens, two males and a berried female which can be easily identified with the help of existing descriptions and illustrations. Brief account of the Pakistan material is given below. One male specimen (measuring 11.0 mm in carapace length) has been deposited in the National Museum of Natural History, Leiden (Reg.No.D.42393) the other two specimens housed in the Marine Reference Collection and Resource Centre (MRCC Cat. No.BRAC.491). The abbreviations used are cl. for carapace length and cb. for carapace breadth.

instability of standing wave, global existence and blowup for the klein-gordon-zakharov system with different-degree nonlinearities

This paper discusses the Klein–Gordon–Zakharov system with different-degree nonlinearities in two and three space dimensions. Firstly, we prove the existence of standing wave with ground state by applying an intricate variational argument. Next, by introducing an auxiliary functional and an equivalent minimization problem, we obtain two invariant manifolds under the solution flow generated by the Cauchy problem to the aforementioned Klein–Gordon–Zakharov system. Furthermore, by constructing a type of constrained variational problem, utilizing the above two invariant manifolds as well as applying potential well argument and concavity method, we derive a sharp threshold for global existence and blowup. Then, combining the above results, we obtain two conclusions of how small the initial data are for the solution to exist globally by using dilation transformation. Finally, we prove a modified instability of standing wave to the system under study.

Biologia da lagarta-do-paricá Syssphinx molina (Cramer, 1780) (Lepidoptera: Saturniidae) em dietas artificiais e naturais in vitro.

2015

Adoniram Judson Gordon : a biography

http://books.google.com/books?vid=OCLC00289131

Edmund Irwin Gordon Papers, 1936-1984

The Edmund Irwin Gordon papers document Gordon’s studies and professional work. The collection contains correspondence, EIG’s writings for publication and otherwise, course materials from the University of Pennsylvania and teaching at Harvard University, photographs of tablets and from digs, translations and notes from writings and tablets in ancient languages, forms and papers related to various grants, and materials from EIG’s work in Signal Intelligence during World War II.

The Irish House of Lords, 1780-1800: politics and ideology

This thesis covers the Irish House of Lords in the last two decades of its life. A number of important themes run through the work - the regency crisis, patronage, the management of the Lords, the relationship between the Lords and Commons. These themes, explored from different angles, are vital to an understanding of the political role of the upper house in the 1780s and 1790s. This study is confined to the Lords as a political institution and thus its judicial role as final court of appeal, which was restored to it in 1782, will not be explored here. The thesis consists of two parts. Part one examines the structure and powers of the House of Lords while part two looks at the parties and policies of the house. Chapter one discusses the British constitution as imposed upon Ireland. Chapter two suggests the reasons why constitutional changes were introduced in 1782, and looks at the contribution made by the Irish House of Lords in securing these changes. Chapter three explores the various channels of influence which the peers enjoyed. Chapter four explores the sometimes tense relationship between Lords and Commons. Chapter five examines management of the House of Lords by Dublin Castle. Part two, begins at chapter six. This chapter explores the leadership of both parties within the Lords. Chapter seven looks at how patronage was used to reward those who were loyal to the government. Chapter eight explores the influence of the Whig opposition. Chapter nine looks at the controversial attempts made by Pitt and his ministry during the 1790s to win the support of catholics and turn them from the lure of French ideas, and of the response of the peers to these attempts. Chapter ten is concerned with the relationship between the peers of the House of Lords and the lords lieutenant during the 1790s. Chapter eleven looks at the Union and the House of Lords and attempts to answer the question historians have long asked: why did the Irish parliament and the House of Lords in particular, look favourably on the proposed union of the two kingdoms and the end of their own institution? The House of Lords in the closing decades of the eighteenth century was an institution within which the wealth and power of the kingdom could be found. Its members were politically active, both inside and outside the house. It contained a majority who saw the Crown as the source of stability, but it was a living and evolving political organism and therefore it contained men who believed that the Crown should have its influence limited. This evolution is also demonstrated in its desire for political change in 1782 and 1788. Its last, and perhaps most radical decision, was to vote for its own demise in 1900.