id sid eid entity type cana-1224 1 1 1074 CARDINAL cana-1224 2 1 6s CARDINAL cana-1224 2 2 2024 CARDINAL cana-1224 2 3 305 CARDINAL cana-1224 2 4 2+1)-d DATE cana-1224 2 5 3+1)-d DATE cana-1224 2 6 schrodinger PERSON cana-1224 2 7 sandeep sharma1 PERSON cana-1224 3 1 bhag singh university ORG cana-1224 3 2 punjab GPE cana-1224 3 3 india GPE cana-1224 3 4 1sandeepsharma200@gmail.com ORG cana-1224 3 5 2inderdeeps.ma.12@gmail.com ORG cana-1224 3 6 08-06-2024 CARDINAL cana-1224 3 7 09-07-2024 CARDINAL cana-1224 3 8 29-07-2024 CARDINAL cana-1224 3 9 2+1 DATE cana-1224 3 10 3+1 DATE cana-1224 6 1 non-linear ORG cana-1224 6 2 schrodinger PERSON cana-1224 7 1 2+1)-dand DATE cana-1224 7 2 3+1)-d DATE cana-1224 7 3 nonlinear fractional schrodinger ORG cana-1224 8 1 1 CARDINAL cana-1224 8 2 2+1)-d DATE cana-1224 8 3 3+1)-d DATE cana-1224 8 4 nonlinear fractional schrodinger ORG cana-1224 10 1 0 CARDINAL cana-1224 10 2 1 CARDINAL cana-1224 10 3 𝑀(Ο‰ ORG cana-1224 11 1 βˆ’1 DATE cana-1224 12 1 Ο‰ ORG cana-1224 12 2 1 CARDINAL cana-1224 13 1 2 CARDINAL cana-1224 14 1 3 CARDINAL cana-1224 15 1 4 CARDINAL cana-1224 16 1 5 CARDINAL cana-1224 17 1 fifth ORDINAL cana-1224 17 2 6 CARDINAL cana-1224 18 1 8 CARDINAL cana-1224 19 1 9 CARDINAL cana-1224 21 1 10 CARDINAL cana-1224 22 1 homotopy ORG cana-1224 22 2 11 CARDINAL cana-1224 23 1 linear along with ORG cana-1224 23 2 nonlinear fractional diffusionwave eqns ORG cana-1224 23 3 12 CARDINAL cana-1224 24 1 13 CARDINAL cana-1224 24 2 linear ORG cana-1224 24 3 schrodinger PERSON cana-1224 25 1 1074 CARDINAL cana-1224 26 1 6s CARDINAL cana-1224 26 2 2024 CARDINAL cana-1224 26 3 306 CARDINAL cana-1224 26 4 14 CARDINAL cana-1224 27 1 2d DATE cana-1224 27 2 schrodinger eqns PERSON cana-1224 27 3 18 CARDINAL cana-1224 28 1 19 CARDINAL cana-1224 28 2 cubic schrodinger PERSON cana-1224 29 1 section 2 LAW cana-1224 30 1 section 3 LAW cana-1224 31 1 2+1)-d DATE cana-1224 31 2 3+1)-d DATE cana-1224 31 3 nonlinear fractional schrodinger ORG cana-1224 31 4 section 4 DATE cana-1224 31 5 2+1)d DATE cana-1224 32 1 3+1)-d DATE cana-1224 32 2 schrodinger PERSON cana-1224 32 3 section 5 LAW cana-1224 33 1 section 6. LAW cana-1224 34 1 2 CARDINAL cana-1224 35 1 2.1 CARDINAL cana-1224 37 1 0 CARDINAL cana-1224 37 2 ∈ β„› ORG cana-1224 37 3 βˆƒ ORG cana-1224 37 4 s.t β„Ž(𝑑 PERSON cana-1224 37 5 π‘š(𝑑 NORP cana-1224 38 1 ∈ ORG cana-1224 38 2 2.2 CARDINAL cana-1224 40 1 1 CARDINAL cana-1224 40 2 0 CARDINAL cana-1224 40 3 ∈ ORG cana-1224 40 4 0 CARDINAL cana-1224 42 1 2.3.the CARDINAL cana-1224 43 1 ∫ 𝑔1(𝑑 PERSON cana-1224 44 1 ∞ 0 DATE cana-1224 44 2 0 CARDINAL cana-1224 45 1 2.4 DATE cana-1224 46 1 2 CARDINAL cana-1224 47 1 β€’ CARDINAL cana-1224 49 1 0 DATE cana-1224 49 2 1074 CARDINAL cana-1224 50 1 6s CARDINAL cana-1224 50 2 2024 CARDINAL cana-1224 50 3 307 CARDINAL cana-1224 51 1 1 CARDINAL cana-1224 51 2 πœ•π‘₯ CARDINAL cana-1224 52 1 πœ•π‘₯2 𝑓(π‘₯ PERSON cana-1224 54 1 β€’ CARDINAL cana-1224 55 1 1 βˆ’ π‘Žπ‘£ QUANTITY cana-1224 55 2 𝐸(sin GPE cana-1224 55 3 1 + CARDINAL cana-1224 55 4 3 CARDINAL cana-1224 55 5 15-17 CARDINAL cana-1224 55 6 𝑁[𝑀(Ο‰ CARDINAL cana-1224 56 1 0 CARDINAL cana-1224 56 2 2 CARDINAL cana-1224 56 3 𝑀(Ο‰ ORG cana-1224 56 4 Ο‰ ORG cana-1224 58 1 1 CARDINAL cana-1224 60 1 3 CARDINAL cana-1224 61 1 πœ‘( Ο‰ ORG cana-1224 61 2 𝑀(Ο‰ ORG cana-1224 62 1 0 & 𝑝 ORG cana-1224 63 1 1 CARDINAL cana-1224 63 2 πœ‘( Ο‰ ORG cana-1224 63 3 0 CARDINAL cana-1224 64 1 πœ‘( Ο‰ ORG cana-1224 64 2 1 CARDINAL cana-1224 64 3 0 CARDINAL cana-1224 64 4 Ο‰ ORDINAL cana-1224 64 5 𝑀(Ο‰ ORG cana-1224 65 1 Ο‰ ORDINAL cana-1224 66 1 Ο‰ ORDINAL cana-1224 67 1 Ο‰ ORDINAL cana-1224 67 2 ∞ π‘š=1 PERSON cana-1224 67 3 4 CARDINAL cana-1224 67 4 1 CARDINAL cana-1224 68 1 𝑝=0 GPE cana-1224 68 2 4 CARDINAL cana-1224 68 3 𝑀(Ο‰ ORG cana-1224 68 4 Ο‰ ORDINAL cana-1224 68 5 5 CARDINAL cana-1224 68 6 1074 CARDINAL cana-1224 69 1 6s CARDINAL cana-1224 69 2 2024 CARDINAL cana-1224 69 3 308 CARDINAL cana-1224 71 1 0 CARDINAL cana-1224 71 2 3 CARDINAL cana-1224 71 3 5 CARDINAL cana-1224 73 1 3 CARDINAL cana-1224 74 1 eqn ORG cana-1224 74 2 Ο‰ ORDINAL cana-1224 75 1 Ο‰ ORDINAL cana-1224 75 2 1 π‘šβˆ’1 CARDINAL cana-1224 76 1 𝑝=0 GPE cana-1224 76 2 0 CARDINAL cana-1224 76 3 1 CARDINAL cana-1224 77 1 4 CARDINAL cana-1224 77 2 elzaki ORG cana-1224 77 3 1 CARDINAL cana-1224 79 1 𝐸{𝑀𝑑 𝛼(Ο‰ PERSON cana-1224 81 1 𝐸{𝑀(Ο‰ ORG cana-1224 85 1 zero CARDINAL cana-1224 86 1 1 CARDINAL cana-1224 88 1 0 & 𝑝 = 1 ORG cana-1224 88 2 πœ‘(Ο‰ ORG cana-1224 88 3 0 CARDINAL cana-1224 89 1 1 CARDINAL cana-1224 90 1 m. 𝐸{π‘€π‘š(Ο‰ PERSON cana-1224 92 1 1074 CARDINAL cana-1224 93 1 6s CARDINAL cana-1224 93 2 2024 CARDINAL cana-1224 93 3 309 CARDINAL cana-1224 93 4 πΈβˆ’1{𝑅2(𝑀1βƒ—βƒ— DATE cana-1224 93 5 Ο‰ ORDINAL cana-1224 94 1 𝑀(Ο‰ ORG cana-1224 94 2 2+1)-d DATE cana-1224 94 3 3+1)-d DATE cana-1224 94 4 schrodinger PERSON cana-1224 95 1 1 CARDINAL cana-1224 95 2 3+1)-d DATE cana-1224 95 3 schrodinger eqn PERSON cana-1224 95 4 0 CARDINAL cana-1224 95 5 6 CARDINAL cana-1224 96 1 1)π‘‘β„Žπ‘’ CARDINAL cana-1224 96 2 7 CARDINAL cana-1224 96 3 eqn ORG cana-1224 96 4 7 CARDINAL cana-1224 112 1 zero CARDINAL cana-1224 112 2 1 CARDINAL cana-1224 112 3 1074 CARDINAL cana-1224 113 1 6s CARDINAL cana-1224 113 2 2024 CARDINAL cana-1224 113 3 310 CARDINAL cana-1224 113 4 1 CARDINAL cana-1224 114 1 0 & 𝑝 = 1 ORG cana-1224 114 2 0 CARDINAL cana-1224 114 3 𝑀0(π‘₯ DATE cana-1224 114 4 1 CARDINAL cana-1224 114 5 9 CARDINAL cana-1224 114 6 10 CARDINAL cana-1224 114 7 10 CARDINAL cana-1224 115 1 πΈβˆ’1{𝑅2(𝑀1βƒ—βƒ— DATE cana-1224 120 1 𝑀0)𝑧𝑧 + 4𝑀0 DATE cana-1224 122 1 + 8𝑀0𝑀0Μ…Μ…Μ…Μ… DATE cana-1224 122 2 2 CARDINAL cana-1224 129 1 + 1 DATE cana-1224 130 1 1074 CARDINAL cana-1224 131 1 6s CARDINAL cana-1224 131 2 2024 CARDINAL cana-1224 131 3 311 CARDINAL cana-1224 132 1 1 CARDINAL cana-1224 132 2 𝑀(π‘₯ GPE cana-1224 132 3 1 + DATE cana-1224 132 4 2 CARDINAL cana-1224 133 1 1 CARDINAL cana-1224 133 2 2 CARDINAL cana-1224 133 3 0.5 CARDINAL cana-1224 133 4 2 CARDINAL cana-1224 133 5 2 CARDINAL cana-1224 133 6 0.5 CARDINAL cana-1224 133 7 -4 -3 PERSON cana-1224 135 1 0 1 2 3 4 5 QUANTITY cana-1224 135 2 0 5 CARDINAL cana-1224 139 1 0 1 2 3 4 5 QUANTITY cana-1224 139 2 0 5 CARDINAL cana-1224 140 1 1074 CARDINAL cana-1224 141 1 6s CARDINAL cana-1224 141 2 2024 CARDINAL cana-1224 141 3 312 CARDINAL cana-1224 141 4 3 CARDINAL cana-1224 141 5 10 CARDINAL cana-1224 141 6 2 CARDINAL cana-1224 141 7 4 CARDINAL cana-1224 141 8 10 CARDINAL cana-1224 141 9 2 CARDINAL cana-1224 141 10 1 CARDINAL cana-1224 141 11 1 CARDINAL cana-1224 141 12 2 CARDINAL cana-1224 141 13 0.5 CARDINAL cana-1224 142 1 3 CARDINAL cana-1224 142 2 1 CARDINAL cana-1224 142 3 10 CARDINAL cana-1224 142 4 2 CARDINAL cana-1224 142 5 2 CARDINAL cana-1224 142 6 2+1)-d DATE cana-1224 142 7 schrodinger eqn PERSON cana-1224 142 8 1 4 CARDINAL cana-1224 143 1 11 CARDINAL cana-1224 143 2 1 CARDINAL cana-1224 143 3 1 4 CARDINAL cana-1224 143 4 12 CARDINAL cana-1224 143 5 eqn ORG cana-1224 143 6 12 CARDINAL cana-1224 144 1 1 4 CARDINAL cana-1224 145 1 0.5 1 CARDINAL cana-1224 145 2 al p ar ORG cana-1224 146 1 0 2 CARDINAL cana-1224 146 2 y x w PERSON cana-1224 148 1 1074 CARDINAL cana-1224 149 1 6s CARDINAL cana-1224 149 2 2024 CARDINAL cana-1224 149 3 313 CARDINAL cana-1224 150 1 0 CARDINAL cana-1224 154 1 + 1 4 DATE cana-1224 154 2 13 CARDINAL cana-1224 154 3 zero CARDINAL cana-1224 154 4 1 CARDINAL cana-1224 154 5 1 CARDINAL cana-1224 154 6 0 & 𝑝 = 1 ORG cana-1224 154 7 0 CARDINAL cana-1224 154 8 𝑀0(π‘₯ DATE cana-1224 154 9 1 CARDINAL cana-1224 154 10 14 CARDINAL cana-1224 154 11 15 CARDINAL cana-1224 154 12 15 CARDINAL cana-1224 155 1 πΈβˆ’1{𝑅2(𝑀1βƒ—βƒ— DATE cana-1224 159 1 1 4 CARDINAL cana-1224 159 2 2π‘₯ CARDINAL cana-1224 160 1 2π‘₯ CARDINAL cana-1224 162 1 2𝑀0𝑀0Μ…Μ…Μ…Μ… CARDINAL cana-1224 164 1 1074 CARDINAL cana-1224 165 1 6s CARDINAL cana-1224 165 2 2024 CARDINAL cana-1224 165 3 314 CARDINAL cana-1224 165 4 1 4 CARDINAL cana-1224 165 5 2π‘₯ CARDINAL cana-1224 165 6 2𝑀0𝑀1Μ…Μ…Μ…Μ… CARDINAL cana-1224 165 7 2𝑀0𝑀0Μ…Μ…Μ…Μ… CARDINAL cana-1224 165 8 2 CARDINAL cana-1224 167 1 2 𝑣𝛼+2 PERCENT cana-1224 168 1 8 𝑣𝛼+4 CARDINAL cana-1224 169 1 2⁄ CARDINAL cana-1224 169 2 + 1 DATE cana-1224 170 1 2⁄ CARDINAL cana-1224 171 1 1 CARDINAL cana-1224 171 2 𝑀(π‘₯ GPE cana-1224 171 3 1 + DATE cana-1224 171 4 2 CARDINAL cana-1224 172 1 2 CARDINAL cana-1224 172 2 2 2 CARDINAL cana-1224 174 1 1074 CARDINAL cana-1224 175 1 6s CARDINAL cana-1224 175 2 2024 CARDINAL cana-1224 175 3 315 CARDINAL cana-1224 175 4 5 CARDINAL cana-1224 175 5 0.5 CARDINAL cana-1224 175 6 6 CARDINAL cana-1224 175 7 0.5 CARDINAL cana-1224 175 8 7 CARDINAL cana-1224 175 9 2 CARDINAL cana-1224 175 10 0 5 DATE cana-1224 175 11 0 5 CARDINAL cana-1224 175 12 0 0.5 1 x w QUANTITY cana-1224 176 1 y w PERSON cana-1224 176 2 ea CARDINAL cana-1224 176 3 0 5 CARDINAL cana-1224 176 4 0 5 -0.4 -0.2 QUANTITY cana-1224 176 5 0.2 0.4 x w QUANTITY cana-1224 177 1 y w PERSON cana-1224 178 1 2 -0.8 -0.6 -0.4 -0.2 QUANTITY cana-1224 179 1 0.2 0.4 0.6 x QUANTITY cana-1224 180 1 y w PERSON cana-1224 180 2 al p ar t ORG cana-1224 180 3 1074 CARDINAL cana-1224 181 1 6s CARDINAL cana-1224 181 2 2024 CARDINAL cana-1224 181 3 316 CARDINAL cana-1224 181 4 8 CARDINAL cana-1224 181 5 2 CARDINAL cana-1224 181 6 5 CARDINAL cana-1224 181 7 2 CARDINAL cana-1224 181 8 0.5 CARDINAL cana-1224 182 1 7 & 8 DATE cana-1224 182 2 2 CARDINAL cana-1224 182 3 2 CARDINAL cana-1224 183 1 6 CARDINAL cana-1224 183 2 homotopy ORG cana-1224 183 3 2+1)-d DATE cana-1224 184 1 3+1)-d DATE cana-1224 184 2 nonlinear fractional schrodinger ORG cana-1224 186 1 1 CARDINAL cana-1224 188 1 2011 DATE cana-1224 188 2 1 CARDINAL cana-1224 188 3 57 CARDINAL cana-1224 189 1 2 CARDINAL cana-1224 189 2 elzaki ORG cana-1224 189 3 s. m. application PERSON cana-1224 190 1 2011 DATE cana-1224 190 2 1 CARDINAL cana-1224 190 3 65-70 CARDINAL cana-1224 191 1 3 CARDINAL cana-1224 191 2 elzaki ORG cana-1224 191 3 s. m. PERSON cana-1224 192 1 2011 DATE cana-1224 192 2 6(1 CARDINAL cana-1224 192 3 1-11 DATE cana-1224 193 1 4 CARDINAL cana-1224 193 2 h. PERSON cana-1224 193 3 a. PERSON cana-1224 194 1 2010 DATE cana-1224 194 2 4(22 CARDINAL cana-1224 194 3 1089-1098 DATE cana-1224 194 4 5 CARDINAL cana-1224 194 5 eltayeb ORG cana-1224 195 1 2010 DATE cana-1224 195 2 4(3):109 CARDINAL cana-1224 196 1 6 CARDINAL cana-1224 196 2 s. homotopy ORG cana-1224 196 3 z. angew PERSON cana-1224 199 1 2008 DATE cana-1224 199 2 59 CARDINAL cana-1224 199 3 51-62 CARDINAL cana-1224 200 1 7 CARDINAL cana-1224 200 2 s. PERSON cana-1224 200 3 zakaria GPE cana-1224 200 4 f.s. GPE cana-1224 200 5 fifth ORDINAL cana-1224 200 6 k-dv ORG cana-1224 201 1 2008 DATE cana-1224 201 2 51 CARDINAL cana-1224 201 3 83 CARDINAL cana-1224 202 1 8 CARDINAL cana-1224 203 1 comput PERSON cana-1224 204 1 2004 DATE cana-1224 204 2 147 CARDINAL cana-1224 205 1 499–513 CARDINAL cana-1224 206 1 9 CARDINAL cana-1224 207 1 comput PERSON cana-1224 208 1 2005 DATE cana-1224 208 2 169 CARDINAL cana-1224 208 3 1186–1194 CARDINAL cana-1224 209 1 10 CARDINAL cana-1224 209 2 zhang, h. application of ORG cana-1224 209 3 a. 2007 PERSON cana-1224 209 4 367 CARDINAL cana-1224 209 5 88-94 CARDINAL cana-1224 210 1 11 CARDINAL cana-1224 211 1 2010 DATE cana-1224 211 2 34 CARDINAL cana-1224 211 3 1634-1641 CARDINAL cana-1224 212 1 12 CARDINAL cana-1224 212 2 jafari GPE cana-1224 212 3 h. PERSON cana-1224 212 4 s. homotopy analysis ORG cana-1224 212 5 linear ORG cana-1224 214 1 nonlin PERSON cana-1224 215 1 sci ORG cana-1224 218 1 2009 DATE cana-1224 218 2 14(5 DATE cana-1224 218 3 2006-2012 DATE cana-1224 220 1 0 0.5 1 x w QUANTITY cana-1224 221 1 y w PERSON cana-1224 221 2 1074 CARDINAL cana-1224 222 1 6s CARDINAL cana-1224 222 2 2024 CARDINAL cana-1224 222 3 317 CARDINAL cana-1224 223 1 13 CARDINAL cana-1224 223 2 a.k. GPE cana-1224 223 3 nazar PERSON cana-1224 223 4 r. NORP cana-1224 223 5 schrodinger PERSON cana-1224 224 1 2009 DATE cana-1224 224 2 14(4 DATE cana-1224 224 3 1196–1207 DATE cana-1224 225 1 14 CARDINAL cana-1224 225 2 j. and ghanbari PERSON cana-1224 225 3 king saud university-science ORG cana-1224 225 4 2012 DATE cana-1224 225 5 161–165 CARDINAL cana-1224 226 1 15 CARDINAL cana-1224 226 2 chapman & hall ORG cana-1224 226 3 boca raton GPE cana-1224 226 4 fla GPE cana-1224 226 5 usa GPE cana-1224 226 6 2003 DATE cana-1224 227 1 16 CARDINAL cana-1224 227 2 2009 DATE cana-1224 227 3 14(4 DATE cana-1224 227 4 983–997 CARDINAL cana-1224 228 1 17 CARDINAL cana-1224 229 1 2005 DATE cana-1224 229 2 2529–2539 CARDINAL cana-1224 230 1 18 CARDINAL cana-1224 230 2 dehghan PERSON cana-1224 230 3 two CARDINAL cana-1224 230 4 2009 DATE cana-1224 230 5 225(1 DATE cana-1224 230 6 124–134 CARDINAL cana-1224 231 1 19 CARDINAL cana-1224 231 2 s.a. GPE cana-1224 231 3 schrodinger PERSON cana-1224 232 1 1998 DATE cana-1224 232 2 97 CARDINAL cana-1224 232 3 251–254 CARDINAL