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Journal of Modern Optics Volume 67, 2020 - Issue 19
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Research Article

Solitary wave solutions of nonlinear PDEs using Kudryashov's R function method

Jayita Dana Belakoba Girls' High School, Belakoba, Prasannanagar, Jalpaiguri, India;b Department of Physics, Diamond Harbour Women's University, Sarisha, India
,
Sharmistha Sainb Department of Physics, Diamond Harbour Women's University, Sarisha, India
,
A. Ghose-Choudhuryb Department of Physics, Diamond Harbour Women's University, Sarisha, India
&
Sudip Garaib Department of Physics, Diamond Harbour Women's University, Sarisha, IndiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-4964-8399
ORCID Icon
Pages 1499-1507 | Received 31 Aug 2020, Accepted 22 Dec 2020, Published online: 06 Jan 2021

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A. Ghose-Choudhury & Sudip Garai. (2021) Pressure wave characteristics in a bubble-liquid mixture via Kudryashov–Sinelshchikov equation. Waves in Random and Complex Media 0:0, pages 1-14.
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Articles from other publishers (25)

Shreya Mitra, A. Ghose-Choudhury & Sudip Garai. (2023) General solutions and applications of the coupled Drinfel’d–Sokolov–Wilson equation. Examples and Counterexamples 3, pages 100108.
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S Hussain & S Mahmood. (2023) Density polarization effect of spin-up and spin-down electrons on magnetosonic solitons in a dense plasma with oblique magnetic field. Physica Scripta 98:4, pages 045603.
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Nilkanta Das & S. Saha Ray. (2023) Dispersive optical soliton solutions of the $$(2 + 1)$$-dimensional cascaded system governing by coupled nonlinear Schrödinger equation with Kerr law nonlinearity in plasma. Optical and Quantum Electronics 55:4.
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Nikolay A. Kudryashov. (2023) Optical solitons of the Schrödinger–Hirota equation of the fourth order. Optik 274, pages 170587.
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Nikolay A. Kudryashov. (2023) Dispersive optical solitons of the generalized Schrödinger–Hirota model. Optik 272, pages 170365.
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Ghazala Akram, Saima Arshed, Maasoomah Sadaf, Hajra Mariyam, Muhammad Nauman Aslam, Riaz Ahmad, Ilyas Khan & Jawaher Alzahrani. (2023) Abundant solitary wave solutions of Gardner's equation using three effective integration techniques. AIMS Mathematics 8:4, pages 8171-8184.
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Sandeep Malik, Mir Sajjad Hashemi, Sachin Kumar, Hadi Rezazadeh, W. Mahmoud & M. S. Osman. (2022) Application of new Kudryashov method to various nonlinear partial differential equations. Optical and Quantum Electronics 55:1.
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A. Ghose‐Choudhury & Sudip Garai. (2022) Some exact wave solutions of nonlinear partial differential equations by means of comparison with certain standard ordinary differential equations. Mathematical Methods in the Applied Sciences 45:16, pages 9297-9307.
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Xiaoming Wang, Ghazala Akram, Maasoomah Sadaf, Hajra Mariyam & Muhammad Abbas. (2022) Soliton Solution of the Peyrard–Bishop–Dauxois Model of DNA Dynamics with M-Truncated and β-Fractional Derivatives Using Kudryashov’s R Function Method. Fractal and Fractional 6:10, pages 616.
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Ahmed M. Alshehri, Hashim M. Alshehri, Abdullah N. Alshreef, Sachin Kumar, Yakup Yıldırım & Anjan Biswas. (2022) Optical solitons and other invariant solutions with fiber Bragg gratings and dispersive reflectivity having parabolic–nonlinear combo nonlinearity. Optik 268, pages 169803.
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Shreya Mitra, Sujoy Poddar, A. Ghose-Choudhury & Sudip Garai. (2022) Solitary wave characteristics in nonlinear dispersive media: a conformable fractional derivative approach. Nonlinear Dynamics 110:2, pages 1777-1788.
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Saima Arshed, Nauman Raza, Ahmad Javid & Haci Mehmet Baskonus. (2022) Chiral solitons of (2+1)-dimensional stochastic chiral nonlinear Schrödinger equation. International Journal of Geometric Methods in Modern Physics 19:10.
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Sachin Kumar & Sandeep Malik. (2022) The (3 + 1)-dimensional Benjamin–Ono equation: Painlevé analysis, rogue waves, breather waves and soliton solutions. International Journal of Modern Physics B 36:20.
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Ismail Onder, Aydin Secer, Muslum Ozisik & Mustafa Bayram. (2022) On the optical soliton solutions of Kundu–Mukherjee–Naskar equation via two different analytical methods. Optik 257, pages 168761.
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Mostafa M. A. Khater, Mustafa Inc, Raghda A. M. Attia & Dianchen Lu. (2022) Computational Simulations; Abundant Optical Wave Solutions Atangana Conformable Fractional Nonlinear Schrödinger Equation. Advances in Mathematical Physics 2022, pages 1-13.
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Sachin Kumar, Sandeep Malik, Hadi Rezazadeh & Lanre Akinyemi. (2022) The integrable Boussinesq equation and it’s breather, lump and soliton solutions. Nonlinear Dynamics 107:3, pages 2703-2716.
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Sachin Kumar, Anjan Biswas, Yakup Yıldırım, Luminita Moraru, Simona Moldovanu, Hashim M. Alshehri, Dalal Adnan Maturi & Dalal H. Al-Bogami. (2022) Cubic–Quartic Optical Soliton Perturbation with Differential Group Delay for the Lakshmanan–Porsezian–Daniel Model by Lie Symmetry. Symmetry 14:2, pages 224.
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O. González-Gaxiola. (2022) Optical soliton solutions for Triki–Biswas equation by Kudryashov’s function method . Optik 249, pages 168230.
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Sachin Kumar, Anjan Biswas, Qin Zhou, Yakup Yıldırım, Hashim M. Alshehri & Milivoj R. Belic. (2021) Straddled optical solitons for cubic–quartic Lakshmanan–Porsezian–Daniel model by Lie symmetry. Physics Letters A 417, pages 127706.
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A. Ghose-Choudhury & Sudip Garai. (2021) On the construction of the general solution of the Fokas–Lenells equation. Examples and Counterexamples 1, pages 100041.
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Sandeep Malik, Sachin Kumar, Kottakkaran Sooppy Nisar & C. Ahamed Saleel. (2021) Different analytical approaches for finding novel optical solitons with generalized third-order nonlinear Schrödinger equation. Results in Physics 29, pages 104755.
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A Abdikian & S Sultana. (2021) Dust-acoustic solitary and cnoidal waves in a dense magnetized dusty plasma with temperature degenerate trapped electrons and nonthermal ions. Physica Scripta 96:9, pages 095602.
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A. Ghose-Choudhury & Sudip Garai. (2021) Solutions of the variable coefficient Radhakrishnan–Kundu–Lakshmanan equation using the method of similarity reduction. Optik 241, pages 167254.
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Jayita Dan, A. Ghose-Choudhury & Sudip Garai. (2021) Variable coefficient higher-order nonlinear Schrödinger type equations and their solutions. Optik 242, pages 167195.
Crossref
Sharmistha Sain, A. Ghose-Choudhury & Sudip Garai. (2021) Solitary wave solutions for the KdV-type equations in plasma: a new approach with the Kudryashov function. The European Physical Journal Plus 136:2.
Crossref

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