A model of solitary waves in a nonlinear elastic circular rod: Abundant different type exact solutions and conservation laws

Analytical wave solutions of the (2+1)‐dimensional Boiti–Leon–Pempinelli and Boiti–Leon–Manna–Pempinelli equations by mathematical methods

“…Our solutions U 1 and V 1 represented in Equation ( 18) and Equation ( 85) are likely similar form to the solutions mentioned in Equation (11) and Equation ( 43) respectively in a previous study. 51 Our solutions U 20 and U 21 represented in Equation (139) and Equation ( 76) are likely similar form to the solutions mentioned in Equation (3.11) and Equation (3.17) respectively in a previous study. 52 Our solutions U 6 and U 7 arranged in Equation (32) and Equation ( 33) are the same with solutions V 3 and V 4 mentioned in Equation ( 16) and Equation ( 17) respectively in a previous study.…”

“…Our novel results have some similarities with others results in different research literature. Our solutions U 1 and V 1 represented in Equation () and Equation () are likely similar form to the solutions mentioned in Equation (11) and Equation (43) respectively in a previous study 51 . Our solutions U 20 and U 21 represented in Equation () and Equation () are likely similar form to the solutions mentioned in Equation (3.11) and Equation (3.17) respectively in a previous study 52 .…”

Magneto-Elektro-Elastik Çubuk Modelinin F Açılım Metodu ile Tam Çözümleri

“…[25] tarafından 2003 yılında yayınlanan çalışmalarında, değişken katsayılı KdV denkleminin periyodik dalga çözümlerini bulmak için kullanılmıştır. Daha sonra bu metod farklı yazarlar tarafından lineer olmayan Schrödinger denklemine [26], genelleştirilmiş Hirota-Satsuma denklemine [27], Ostrovsky denklemine [28], Kudryashov-Sinelslchikov denklemine [29], Elektro-Elastik denklemine [30] vb. uygulanmıştır.…”

Highly dispersive optical solitons and other soluions for the Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers by an efficient computational technique

“…Exact solutions to NLPDEs play an important role in nonlinear science, since they can provide much physical information and more insight of the physical aspects of the problem and thus lead to further applications. Wave phenomena in dispersion, dissipation, diffusion, reaction and convection are very much important (Biswas et al 2018a, c;Ozkan et al 2020aOzkan et al , 2021Celik et al 2021;Ali et al 2018a;Nighat et al 2020;Seadawy et al 2018;Cheemaa et al 2018;Khater et al 2000) Furthermore, various specialists and mainstream researchers are giving more consideration to create and improve the optical transmission frameworks through optical fibers instead of birefringent fibers. However, the propagation of soliton through optical fibers governs next generation technology but there are several factors in birefringent fibers as well that are used to produce the soliton propagations (Ahmed et al 2019;Ali et al 2018b;Arshad et al 2017;Ghanbari et al 2018;Seadawy et al 2019b).…”