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A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation

Citations

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Cited by:

  1. El-Ganaini, Shoukry & Kumar, Hitender, 2020. "A variety of new traveling and localized solitary wave solutions of a nonlinear model describing the nonlinear low- pass electrical transmission lines," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
  2. Kumar, Sachin & Kumar, Dharmendra & Kumar, Amit, 2021. "Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
  3. Xiaomin Wang & Sudao Bilige & Jing Pang, 2020. "Rational Solutions and Their Interaction Solutions of the (3 + 1)‐Dimensional Jimbo‐Miwa Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
  4. Zayed, Elsayed M.E. & Ahmed, Manar S. & Arnous, Ahmed H. & Yıldırım, Yakup, 2025. "Novel soliton solutions of the (3+1)-dimensional stochastic nonlinear Schrödinger equation in birefringent fibers," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
  5. Nur Alam & Fethi Bin Muhammad Belgacem, 2016. "Microtubules Nonlinear Models Dynamics Investigations through the exp(−Φ(ξ))-Expansion Method Implementation," Mathematics, MDPI, vol. 4(1), pages 1-13, February.
  6. Devi, Munesh & Yadav, Shalini & Arora, Rajan, 2021. "Optimal system, invariance analysis of fourth-Order nonlinear ablowitz-Kaup-Newell-Segur water wave dynamical equation using lie symmetry approach," Applied Mathematics and Computation, Elsevier, vol. 404(C).
  7. Ullah, Mohammad Safi & Baleanu, Dumitru & Ali, M. Zulfikar & Harun-Or-Roshid,, 2023. "Novel dynamics of the Zoomeron model via different analytical methods," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
  8. Seadawy, Aly R. & Ali, Asghar & Althobaiti, Saad & Sayed, Samy, 2021. "Propagation of wave solutions of nonlinear Heisenberg ferromagnetic spin chain and Vakhnenko dynamical equations arising in nonlinear water wave models," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
  9. Biswas, Swapan & Ghosh, Uttam & Raut, Santanu, 2023. "Construction of fractional granular model and bright, dark, lump, breather types soliton solutions using Hirota bilinear method," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
  10. Xie, Xiao-Ran & Zhang, Run-Fa, 2025. "Neural network-based symbolic calculation approach for solving the Korteweg–de Vries equation," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
  11. DaZhao Lü & YanYing Cui & ChangHe Liu & ShangWen Wu, 2012. "Abundant Interaction Solutions of Sine‐Gordon Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
  12. Arzu Akbulut & Melike Kaplan & Rubayyi T. Alqahtani & W. Eltayeb Ahmed, 2023. "On the Dynamics of the Complex Hirota-Dynamical Model," Mathematics, MDPI, vol. 11(23), pages 1-12, December.
  13. Khaled A. Gepreel, 2020. "Analytical Methods for Nonlinear Evolution Equations in Mathematical Physics," Mathematics, MDPI, vol. 8(12), pages 1-14, December.
  14. Kumar, Sachin & Kumar, Amit, 2022. "Dynamical behaviors and abundant optical soliton solutions of the cold bosonic atoms in a zig-zag optical lattice model using two integral schemes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 254-274.
  15. El-Ganaini, Shoukry & Kumar, Sachin, 2023. "Symbolic computation to construct new soliton solutions and dynamical behaviors of various wave structures for two different extended and generalized nonlinear Schrödinger equations using the new improved modified generalized sub-ODE proposed method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 28-56.
  16. Aljohani, A.F. & Alqurashi, Bader Mutair & Kara, A.H., 2021. "Solitons, travelling waves, invariance, conservation laws and ‘approximate’ conservation of the extended Jimbo-Miwa equation," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
  17. Alvaro H. Salas, 2012. "Solving Nonlinear Partial Differential Equations by the sn‐ns Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
  18. Hayman Thabet & Subhash Kendre & Dimplekumar Chalishajar, 2017. "New Analytical Technique for Solving a System of Nonlinear Fractional Partial Differential Equations," Mathematics, MDPI, vol. 5(4), pages 1-15, September.
  19. Hashemi, M.S., 2018. "Invariant subspaces admitted by fractional differential equations with conformable derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 161-169.
  20. Pengbo Wan & Jalil Manafian & Hajar Farhan Ismael & Sizar Abid Mohammed, 2020. "Investigating One‐, Two‐, and Triple‐Wave Solutions via Multiple Exp‐Function Method Arising in Engineering Sciences," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
  21. Bo Xu & Sheng Zhang, 2022. "Analytical Method for Generalized Nonlinear Schrödinger Equation with Time-Varying Coefficients: Lax Representation, Riemann-Hilbert Problem Solutions," Mathematics, MDPI, vol. 10(7), pages 1-15, March.
  22. Lijun Zhang & C. M. Khalique, 2014. "Traveling Wave Solutions and Infinite‐Dimensional Linear Spaces of Multiwave Solutions to Jimbo‐Miwa Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
  23. Saleh Alshammari & Othman Abdullah Almatroud & Mohammad Alshammari & Hamzeh Zureigat & M. Mossa Al-Sawalha, 2024. "Exploring Kink Solitons in the Context of Klein–Gordon Equations via the Extended Direct Algebraic Method," Mathematics, MDPI, vol. 12(21), pages 1-29, November.
  24. Li, Hui & Li, Ye-Zhou, 2018. "Meromorphic exact solutions of two extended (3+1)-dimensional Jimbo–Miwa equations," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 369-375.
  25. Qing Meng & Bin He, 2016. "Bounded Traveling Wave Solutions and Their Relations for the Generalized HD Type Equation," Discrete Dynamics in Nature and Society, John Wiley & Sons, vol. 2016(1).
  26. Hongwei Yang & Yong Zhang & Xiaoen Zhang & Xin Chen & Zhenhua Xu, 2016. "The Rational Solutions and Quasi‐Periodic Wave Solutions as well as Interactions of N‐Soliton Solutions for 3 + 1 Dimensional Jimbo‐Miwa Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2016(1).
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