Dynamical behaviours of the (3+1)-dimensional Kadomtsev–Petviashvili equation describing the dispersive waves
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[1] Amit Kumar,et al. Generalized fifth-order nonlinear evolution equation for the Sawada-Kotera, Lax, and Caudrey-Dodd-Gibbon equations in plasma physics: Painlevé analysis and multi-soliton solutions , 2022, Physica Scripta.
[2] S Kumar,et al. A novel and efficient method for obtaining Hirota’s bilinear form for the nonlinear evolution equation in (n+1) dimensions , 2022, Partial Differential Equations in Applied Mathematics.
[3] K. U. Tariq,et al. On some novel bright, dark and optical solitons to the cubic-quintic nonlinear non-paraxial pulse propagation model , 2021, Optical and Quantum Electronics.
[4] Sachin Kumar,et al. A study of multi-soliton solutions, breather, lumps, and their interactions for kadomtsev-petviashvili equation with variable time coeffcient using hirota method , 2021, Physica Scripta.
[5] Sachin Kumar,et al. Study of exact analytical solutions and various wave profiles of a new extended (2+1)-dimensional Boussinesq equation using symmetry analysis , 2021, Journal of Ocean Engineering and Science.
[6] Sachin Kumar,et al. Lie symmetry analysis, group-invariant solutions and dynamics of solitons to the ($$2+1$$)-dimensional Bogoyavlenskii–Schieff equation , 2021, Pramana.
[7] K. U. Tariq,et al. Some optical soliton solutions to the perturbed nonlinear Schrödinger equation by modified Khater method , 2021 .
[8] K. U. Tariq,et al. On some novel solitons to the generalized (1 + 1)-dimensional unstable space–time fractional nonlinear Schrödinger model emerging in the optical fibers , 2021 .
[9] Sachin Kumar,et al. Invariance analysis, optimal system, closed-form solutions and dynamical wave structures of a (2+1)-dimensional dissipative long wave system , 2021, Physica Scripta.
[10] Sachin Kumar,et al. Lie symmetry reductions and dynamics of soliton solutions of (2 $$+$$ 1)-dimensional Pavlov equation , 2020, Pramana.
[11] Mostafa M. A. Khater,et al. Computational simulations of the couple Boiti–Leon–Pempinelli (BLP) system and the (3+1)-dimensional Kadomtsev–Petviashvili (KP) equation , 2020 .
[12] Amit Kumar,et al. Lie symmetry analysis and generalized invariant solutions of (2+1)-dimensional dispersive long wave (DLW) equations , 2020, Physica Scripta.
[13] A. Al-Jamel,et al. Quantisation of particle motion in dissipative harmonic environment , 2019, Pramana.
[14] Mostafa M. A. Khater,et al. New exact traveling wave solutions of biological population model via the extended rational sinh-cosh method and the modified Khater method , 2019, Modern Physics Letters B.
[15] E. Zayed,et al. Optical solitons and other solutions to Biswas–Arshed equation using the extended simplest equation method , 2019, Optik.
[16] M. Belić,et al. Solitons in optical fiber Bragg gratings with dispersive reflectivity by extended trial function method , 2019, Optik.
[17] Mostafa M. A. Khater,et al. Modified Auxiliary Equation Method versus Three Nonlinear Fractional Biological Models in Present Explicit Wave Solutions , 2018, Mathematical and Computational Applications.
[18] Xianwei Zhou,et al. Resonant multiple wave solutions to a new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation: Linear superposition principle , 2018, Appl. Math. Lett..
[19] Dipankar Kumar,et al. Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology , 2018 .
[20] S. El-Labany,et al. Collision of dust ion acoustic multisolitons in a non-extensive plasma using Hirota bilinear method , 2018 .
[21] Shou-Fu Tian,et al. Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation , 2017, Appl. Math. Lett..
[22] Houria Triki,et al. SOLITONS AND OTHER SOLUTIONS TO THE (3+1)- DIMENSIONAL EXTENDED KADOMTSEV-PETVIASHVILI EQUATION WITH POWER LAW NONLINEARITY , 2013 .
[23] Donglong Li,et al. Soliton deflexion for(1 + 3)D Kadomtsev-Petviashvili Equation , 2009 .
[24] Ji-Huan He,et al. Nonlinear oscillator with discontinuity by parameter-expansion method , 2008 .
[25] Abdul-Majid Wazwaz,et al. The extended tanh method for abundant solitary wave solutions of nonlinear wave equations , 2007, Appl. Math. Comput..
[26] Xiangzheng Li,et al. A sub-ODE method for finding exact solutions of a generalized KdV–mKdV equation with high-order nonlinear terms , 2007 .
[27] M. A. Abdou. The extended F-expansion method and its application for a class of nonlinear evolution equations , 2007 .
[28] Ji-Huan He,et al. Exp-function method for nonlinear wave equations , 2006 .
[29] Abdul-Majid Wazwaz,et al. The tanh method for traveling wave solutions of nonlinear equations , 2004, Appl. Math. Comput..
[30] Li Biao,et al. Generalized Riccati equation expansion method and its application to the Bogoyavlenskii's generalized breaking soliton equation , 2003 .
[31] Zuntao Fu,et al. JACOBI ELLIPTIC FUNCTION EXPANSION METHOD AND PERIODIC WAVE SOLUTIONS OF NONLINEAR WAVE EQUATIONS , 2001 .
[32] Ji-Huan He. Variational iteration method – a kind of non-linear analytical technique: some examples , 1999 .
[33] E. Fan,et al. A note on the homogeneous balance method , 1998 .
[34] Yi Cheng,et al. The constraint of the Kadomtsev-Petviashvili equation and its special solutions , 1991 .
[35] M. Wadati,et al. A Generalization of Inverse Scattering Method , 1979 .
[36] B. Kadomtsev,et al. On the Stability of Solitary Waves in Weakly Dispersing Media , 1970 .