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Works cited by this work

53 works

Work: Bilinear neural network computation for lump interactions and rogue waves in the (2+1)-dimensional Kairat-II-X-type model

  1. A sine-cosine method for handlingnonlinear wave equations

    Abdul–Majid Wazwaz

    Article20046 citations
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  2. The Direct Method in Soliton Theory

    Ryogo Hirota

    Book20046 citations
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  3. The ()-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics

    Mingliang Wang, Xiangzheng Li, Jinliang Zhang

    Article20075 citations
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  4. Application of new Kudryashov method to various nonlinear partial differential equations

    Sandeep Malik, Mir Sajjad Hashemi, Sachin Kumar +3

    Article20224 citations
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  5. On “new travelling wave solutions” of the KdV and the KdV–Burgers equations

    Nikolay A. Kudryashov

    Article20083 citations
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  6. Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method

    Runfa Zhang, Mingchu Li, Jianyuan Gan +2

    Article20213 citations
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  7. Application of modified exp-function method for strain wave equation for finding analytical solutions

    Muhammad Shakeel, Attaullah Attaullah, Nehad Ali Shah +1

    Article20223 citations
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  8. The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfrac></mml:mrow></mml:mfenced></mml:mrow></mml:mrow></mml:math>-expansion method for the nonlinear lattice equations

    Burcu Ayhan, Ahmet Bekir

    Article20122 citations
    ABI

  9. The tanh method: solitons and periodic solutions for the Dodd–Bullough–Mikhailov and the Tzitzeica–Dodd–Bullough equations

    Abdul–Majid Wazwaz

    Article20042 citations
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  10. On the solitary wave solutions for nonlinear Hirota–Satsuma coupled KdV of equations

    E. M. E. Zayed, Hassan A. Zedan, Khaled A. Gepreel

    Article20042 citations
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  11. Exact solutions for nonlinear evolution equations using Exp-function method

    Ahmet Bekir, Ahmet Boz

    Article20072 citations
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  12. The improved F-expansion method and its applications

    Jinliang Zhang, Mingliang Wang, Yueming Wang +1

    Article20052 citations
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  13. Dynamical characteristic of analytical fractional solitons for the space-time fractional Fokas-Lenells equation

    Ben‐Hai Wang, Yue‐Yue Wang, Chao‐Qing Dai +1

    Article20202 citations
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  14. On the study of optical soliton molecules of Manakov model and stability analysis

    Usman Younas, Jingli Ren

    Article20222 citations
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  15. Optical soliton solutions for the integrable Lakshmanan-Porsezian-Daniel equation via the inverse scattering transformation method with applications

    Mohamed R. Ali, Mahmoud A. Khattab, S. M. Mabrouk

    Article20222 citations
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  16. New analytical solutions and integrability for the (2 + 1)-dimensional variable coefficients generalized Nizhnik-Novikov-Veselov system arising in the study of fluid dynamics via auto-Backlund transformation approach

    Shailendra Singh, S. Saha Ray

    Article20232 citations
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  17. On the lump interaction phenomena to the conformable fractional (2+1)-dimensional KdV equation

    Usman Younas, Tukur Abdulkadir Sulaıman, Hajar F. Ismael +2

    Article20232 citations
    ABI

  18. A diversity of patterns to new (3 + 1)-dimensional Hirota bilinear equation that models dynamics of waves in fluids

    Usman Younas, Hajar F. Ismael, Tukur Abdulkadir Sulaıman +3

    Article20232 citations
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  19. Two effective methods for solution of the Gardner–Kawahara equation arising in wave propagation

    Khalid K. Ali, Derya Yıldırım Sucu, Seydi Battal Gazi Karakoç

    Article20242 citations
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  20. On inverse scattering for the two-dimensional nonlinear Schrödinger equation

    Hironobu Sasaki

    Article20242 citations
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  21. Exploring the influence of layer and neuron configurations on Boussinesq equation solutions via a bilinear neural network framework

    Muhammad Abubakar Isah, Asıf Yokuş, Doǧan Kaya

    Article20242 citations
    ABI

  22. Bifurcation, chaos, and soliton dynamics in the integrable space curve model: A hybrid analytical and artificial neural network approach

    Ghulam Hussain Tipu, Fengping Yao, Talha Anwar

    Article20252 citations
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  23. The (G′/G, 1/G)-expansion method and its application to travelling wave solutions of the Zakharov equations

    Lingxiao Li, Erqiang Li, Mingliang Wang

    Article20102 citations
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  24. Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation

    Runfa Zhang, Sudao Bilige

    Article20192 citations
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  25. Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations

    Runfa Zhang, Mingchu Li

    Article20222 citations
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