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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">zhps</journal-id><journal-title-group><journal-title xml:lang="ru">Журнал прикладной спектроскопии</journal-title><trans-title-group xml:lang="en"><trans-title>Zhurnal Prikladnoii Spektroskopii</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0514-7506</issn><publisher><publisher-name>B. I. Stepanov Institute of Physics of the National Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">zhps-1306</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>АННОТАЦИИ АНГЛОЯЗЫЧНЫХ СТАТЕЙ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ABSTRACTS ENGLISH-LANGUAGE ARTICLES</subject></subj-group></article-categories><title-group><article-title>Взаимное влияние самофокусировки и самосжатия эллиптического q-гауссовa лазерного импульса при взаимодействии с неоднородной вдоль оси плазмой</article-title><trans-title-group xml:lang="en"><trans-title>Interplay between Self-Focusing and Self-Compression of Elliptical q-Gaussian Laser Pulse Interacting with Axially Inhomogeneous Plasma</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Gupta</surname><given-names>N.</given-names></name><name name-style="western" xml:lang="en"><surname>Gupta</surname><given-names>N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Gupta Naveen.</p><p>Пхагвара</p></bio><bio xml:lang="en"><p>Naveen Gupta.</p><p>Phagwara</p></bio><email xlink:type="simple">naveens222@rediffmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Университет Пхагвары</institution></aff><aff xml:lang="en"><institution>Lovely Professional University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>31</day><month>05</month><year>2023</year></pub-date><volume>90</volume><issue>3</issue><fpage>527</fpage><lpage>9</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Gupta N., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Gupta N.</copyright-holder><copyright-holder xml:lang="en">Gupta N.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://zhps.ejournal.by/jour/article/view/1306">https://zhps.ejournal.by/jour/article/view/1306</self-uri><abstract><p>Теоретически изучена пространственно-временная динамика интенсивного лазерного импульса с q-гауссовым пространственным профилем излучения при взаимодействии с бесстолкновительной плазмой, в частности динамика ширины импульса и ширины луча лазерного импульса. С использованием вариационной теории нелинейное уравнение в частных производных, определяющее эволюцию огибающей импульса, сведено к набору связанных обыкновенных дифференциальных уравнений для ширины импульса и ширины луча лазерного импульса. Дифференциальные уравнения решены численно для представления взаимосвязи между самофокусировкой и самосжатием лазерного импульса.</p></abstract><trans-abstract xml:lang="en"><p>A theoretical investigation of spatiotemporal dynamics of an intense laser pulse with a q-Gaussian spatial irradiance profile interacting with collisionless plasma has been presented. In particular, the dynamics of pulse width and beam widths of the laser pulse have been investigated in detail. Using variational theory, nonlinear partial differential equation governing the evolution of the pulse envelope has been reduced to a set of coupled ordinary differential equations for the pulse width and beam widths of the laser pulse. The differential equations thus obtained have been solved numerically to envision the interplay between self-focusing and self-compression of the laser pulse.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>дифференциальное уравнение в частных производных</kwd><kwd>лазерный импульс</kwd><kwd>q-гауссиан</kwd></kwd-group><kwd-group xml:lang="en"><kwd>partial differential equation</kwd><kwd>laser pulse</kwd><kwd>q-Gaussian</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">S. E. Miller, Sci. Am., 214, 19 (1966).</mixed-citation><mixed-citation xml:lang="en">S. E. Miller, Sci. Am., 214, 19 (1966).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">T. H. Maiman, Nature, 187, 493 (1960).</mixed-citation><mixed-citation xml:lang="en">T. H. 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