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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-1440</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>Самофокусировка возмущенного эллиптического q-гауссова лазерного пучка в неоднородной плазме</article-title><trans-title-group xml:lang="en"><trans-title>Self-Focusing of Rippled Elliptical q-Gaussian Laser Beam in Plasma with Axial Density Ramp</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>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>25</day><month>11</month><year>2023</year></pub-date><volume>90</volume><issue>6</issue><fpage>975</fpage><lpage>975</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/1440">https://zhps.ejournal.by/jour/article/view/1440</self-uri><abstract><p>Исследована самофокусировка эллиптического q-гауссова лазерного пучка с импульсами интенсивности по поперечному сечению в неоднородной плазме. Оптическая нелинейность плазмы моделировалась релятивистской массовой нелинейностью электронов плазмы в поле лазерного луча. С использованием вариационной теории получены полуаналитические решения волновых уравнений для полей главного луча и импульсов. Показана эволюция ширины луча главного луча и импульса.</p></abstract><trans-abstract xml:lang="en"><p>Theoretical investigation on self-focusing of an elliptical q-Gaussian laser beam carrying an intensity ripple over its cross section, in plasma with an axial density ramp has been presented. The optical nonlinearity of plasma has been modeled by the relativistic mass nonlinearity of plasma electrons in the field of a laser beam. Using the variational theory approach, semi-analytical solutions of the wave equations for the fields of the main beam and that of the ripple have been obtained. Emphasis has been put on the evolutions of the beam widths of the main beam and that of the ripple.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>q-гауссиан</kwd><kwd>лазерный импульс</kwd><kwd>вариационная теория</kwd><kwd>чистая энергия</kwd><kwd>самофокусировка</kwd></kwd-group><kwd-group xml:lang="en"><kwd>q-Gaussian</kwd><kwd>laser ripple</kwd><kwd>variational theory</kwd><kwd>clean energy</kwd><kwd>self-focusing</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">R. S. Craxton, K. S. Anderson, T. R. Boehly, V. N. Goncharov, D. R. Harding, J. P. Knauer, R. L. McCrory, P. W. McKenty, D. D. Meyerhofer, J. F. Myatt, A. J. Schmitt, J. D. Sethian, R. W. Short, S. Skupsky, W. Theobald, W. L. Kruer, K. Tanaka, R. Betti, T. J. B. Collins, J. A. Delettrez, S. X. Hu, J. A. Marozas, A. V. Maximov, D. T. Michel, P. B. Radha, S. P. Regan, T. C. Sangster, W. Seka, A. A. 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