Search or add a thesis

Advanced Search (Beta)
Home > Symmetries, Solitons and Integrable Models

Symmetries, Solitons and Integrable Models

Thesis Info

Access Option

External Link

Author

Mushahid, Nosheen

Program

PhD

Institute

University of the Punjab

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2017

Thesis Completion Status

Completed

Subject

Physics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/11242/1/Nosheen_Mushahid_Physics_2017_UoP_Punjab_03.09.2018.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727425208

Asian Research Index Whatsapp Chanel
Asian Research Index Whatsapp Chanel

Join our Whatsapp Channel to get regular updates.

Similar


We study symmetries and soliton solutions of some integrable models. We investigate symmetries of a generalized Heisenberg magnet model and derive its local and nonlocal conserved quantities and show that the local conserved quantities Poisson commute with themselves and with the nonlocal conserved quantities. We apply the dressing method of Zakharov and Shabat on the generalized coupled dispersionless integrable system and compute its multi-soliton solutions. The dressing method has been related with the standard Darboux transformation. We also related the dressed solutions with quasideterminant multi-soliton solutions. We also present a noncommutative generalization of the coupled dispersionless system and apply Darboux transformation in order to compute explicit multisoliton solutions in terms of quasideterminants. In a similar pattern a Darboux transformation of a noncommutative sine-Gordon equation has been investigated and explicit multi-kink solutions have been computed. All these noncommutative generalizations have been compared with the commutative integrable systems. The role of the quasideterminand Darboux matrix for the noncommutative systems has been explored by explicitly computing the noncommutative soliton solutions of the noncommutative models.
Loading...
Loading...

Similar Books

Loading...

Similar Chapters

Loading...

Similar News

Loading...

Similar Articles

Loading...

Similar Article Headings

Loading...

سید امجدؔ حسین حیدرآبادی

سید احمد حسین امجدؔ حیدرآبادی
افسوس ہے کہ حکیم الشعراء سید احمد حسین امجد حیدرآبادی نے بھی اس جہاں فانی کو الوداع کہا، ان کی وفات محض دنیائے شاعری کا نہیں بلکہ دنیائے دل کا حادثہ ہے، وہ تنہا شاعر ہی نہیں اس سے زیادہ حکیم و عارف اور صاحب دل صوفی تھے، اردو کے نامور شاعروں سے آج بھی ہندوستان خالی نہیں، مگر امجد اپنے رنگ میں یگانہ تھے، ان کے کلام میں طور کی تجلی اور وادی یمن کے شراروں کا عکس ہے، خصوصاً رباعی گوئی میں اس زمانہ میں ان کا جواب نہ تھا، ان کی رباعیات حکمت و بصیرت کا دفتر ہیں، وہ صحیح معنوں میں اس دور کے سرمد اور ابوسعید ابو الخیر تھے، ان کی ذات بظاہر عارفانہ شاعری کا خاتمہ نظر آتا ہے۔
انھوں نے فطرۃً بھی حکیمانہ نظر اور درد آشنا دل پایا تھا، اور ان کو حوادث بھی ایسے پیش آئے جنھوں نے ان کو سراپا سوز اور حقیقت نگر بنادیا، وہ نثر بھی سادہ سلیس، بے تکلف، اور مؤثر و دلنشین لکھتے تھے، چھوٹے چھوٹے سادہ بلیغ فقروں میں بڑی حکیمانہ اور سبق آموز باتیں کہہ جاتے تھے، ان کی نظم و نثر کی تصانیف کی تعداد ایک درجن سے زیادہ ہوگی، دارالمصنفین سے ان کے دیرینہ تعلقات تھے، حضرت سید صاحب رحمۃ اﷲ علیہ ان کے اور ان کے کلام کے بڑے قدر دان تھے، حکیم الشعراء کا لقب ان کو انہی نے دیا تھا، ایک مرتبہ امجد مرحوم دارالمصنفین بھی آئے تھے، ان کی سادہ مگر پر تاثیر شخصیت اب تک نگاہ میں ہے ایک زمانہ میں ان کا کلام معارف میں بکثرت چھپتا تھا، مگر ادھر عرصہ سے ان چیزوں سے اس قدر مستغنی اور بے نیاز ہوگئے تھے کہ اپنا کلام رسالوں میں بھیجنا چھوڑ دیا تھا، افسوس ہے کہ شاخِ طوبیٰ کا...

Role of Religion in Mate Selection Among Educated Working Women in Khyber Pakhtunkhwa, Pakistan

The present study was conducted to probe the role of religion in mate selection among educated females of Khyber Pakhtunkhwa. Data for the study was collected through a pre-tested questionnaire from 278 working women from three public sector universities in Khyber Pakhtunkhwa i.e. The University of Agriculture, University of Peshawar and Shaheed Benazir Bhutto Women University Peshawar. Simple random method was applied to pick the samples from the study area whereas chi-square statistics was applied to get the major findings. Results reveal a contradictory type of situation as on the one hand, religion particularly the rituals were strictly followed during marriage but on the other hand, the mate selection rights of women were ignored mainly. This is practiced despite of the fact that Islam has given right/liberty in mate selection to both men and women.  Female respondents attributed it to lack of Islamic knowledge on part of family members or they do it to get more say and power through following common values and culture. Religious leaders do not lay much stress on the rights given by Islam to females in mate selection in their religious sermons. The issue according to respondents was not discussed either. Females on their part, though found interested in mates from their own sect or religious groups preferred liberal males over conservative ones because believing them to be stern and inflexible. The study recommends that an awareness campaign through mass media which may include religious leaders, civil society and political parties needs to be launched in order to raise awareness among both the educated and uneducated females along with their parents regarding mate selection, the nature and impact of religious misinterpretations, and current wave of western values, materialistic outlook and idealism that affects the selected females perception about mate selection.

Isolation and Functional Characterization of High Affinity Potassium Transporter Hkt Gene in Yeast and Expression Profiling in Tobacco Nicotiana Tabacum

Alternative splicing is widely observed in animals and plants. Intron retention in transcripts and presence of 5ʹ and 3ʹ splice sites within these introns mediate alternate splicing. This research work was intended to characterize the high affinity potassium transporter (HKT) from barley in model system (tobacco and arabidopsis) and functional complementation in yeast (Saccharomyces cervisceae) heterologous system. Relative expression analysis detected different HvHKT2;1 isoforms in barley (Hordeum vulgare) under both normal and high saline conditions. Besides barley, stable integration of insertions corresponding to two introns, were also observed at the 3ʹ-end in kallar grass (Leptochloa fusca). Transcript profiling of HvHKT2;1 in barley showed differential splicing events, which were regulated by NaCl concentration in soil. Accumulation of intron retaining transcripts was observed with abundance of short intron retaining HKT isoforms. Conventional PCR detected different splice variants which were cloned and sequenced. Intron retaining full length cDNA (HvHKT2;1-i) was transformed in tobacco (Nicotiana tabacum) and arabidopsis. Different HvHKT2;1 isoforms were detected in model plant systems with abundance of short intron retaining transcripts. Furthermore, HKT transcript analysis in both model plant systems showed similar results as observed in barley under native promoter conditions. To functionally characterize HvHKT2;1-i, a wild type and potassium uptake deficient mutant yeast strain (trk1, trk2) was used. Both, the wild type and trk1, trk2 yeast expressing HvHKT2;1-i, showed growth activities on YPD (Yeast Peptone Dextrose) solid medium. Growth sensitivities of both wild type and the trk1, trk2 yeast were observed on YPD solid medium containing hygromycin under similar conditions. Addition of milimolar (mM) concentrations of KCl and NaCl in hygromycin supplemented YPD solid resulted in growth recovery of trk1, trk2 yeast expressing HvHKT2;1-i suggesting the presence of functional transcripts in the pool of intron retaining transcripts. It is also clear from yeast functional analysis that HvHKT2;1-i cDNA with introns still enabled the trk1, trk2 yeast to complement K+/Na+ phenotype xiii while maintaining the high affinity K+ transport function. Expression analysis from barley, putative transgenic Arabidopsis, transgenic tobacco and the trk1, trk2 yeast mutant expressing HvHKT2;1-i, showed alternate splicing, intron retention and differential splicing events. Changes in HKT transcript patterns in response to varying K+ and Na+ concentrations, in both heterologous and plant system, suggest a role of these ions in regulation of HKT expression under salt stress. Nicotiana benthamiana plants were used for transient expression of HvHKT2;1-i. Confocal studies detected GFP signals on plasma membrane suggesting the presence of functional HvHKT2;1 fusion protein and hence, the evidence of properly spliced transcripts.